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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,571

Hi,

The solution #3798 (two values) is correct. Excellent, Monox D. I-Fly!

#3799. The sum of two numbers is 18. The sum of their reciprocals is 1/4. Find the numbers.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**math9maniac****Member**- From: Tema
- Registered: 2015-03-30
- Posts: 407

Only a friend tells you your face is dirty.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,571

Hi,

The solution #3799 is perfect. Excellent, math9maniac!

#3800. The sum of two numbers is 8 and 15 times the sum of their reciprocals is also 8. Find the numbers.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,571

Hi,

#3801. The product of two successive integral multiples of 5 is 300. Find the multiples.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Monox D. I-Fly****Member**- Registered: 2015-12-02
- Posts: 973

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,571

Hi,

Excellent, Monox D. I-Fly!

#3802. The speed of a boat in still water is 8 kilometers per hour. It can go 15 kilometer upstream and 22 kilometers downstream in 5 hours. Find the speed of the stream.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,571

Hi,

#3803. The diagonal of a rectangular field is 60 meters more than the shorter side. If the longer side is 30 meters more than the shorter side, find the sides of the field.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,571

Hi,

#3804.The hypotenuse of a right triangle is 25 cm. The difference between the lengths of the other two sides of the triangle is 5 cm. Find the lengths of these sides.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,571

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#3805. The perimeter of a rectangular field is 82 cm and its area is 400 meters squared. Find the breadth of the rectangle.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
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#3806. The area of a right angled triangle 600 square centimeters. If the base of the triangle exceeds the altitude by 10 cm, find the dimensions of the triangle. (i.e. base and altitude).

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Monox D. I-Fly****Member**- Registered: 2015-12-02
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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,571

Hi,

The solution #3806 is correct. Neat work, Monox D. I-Fly!

#3807. The area of an isosceles triangle is 60 square centimeters and the length of each one of its equal sides is 13 cm. Find its base.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Monox D. I-Fly****Member**- Registered: 2015-12-02
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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,571

Hi,

The solution #3807 is correct. Keep it up, Monox D. I-Fly!

#3808. The side of a square exceeds the side of another square by 4 cm and the sum of the areas of the two squares is 400 square centimeters. Find the dimensions of the squares.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Monox D. I-Fly****Member**- Registered: 2015-12-02
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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,571

Hi,

The solution #3808 (two parts) is correct. Excellent, Monox D. I-Fly!

#3809. Some students planned a holiday. The budget for food was $480. But eight of these failed to go and thus the cost of food for each member increased by $10. How many students went on the holiday?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,571

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#3810. The length of the sides forming right angle of a right angled triangle are 5x cm and (3x - 1) cm. If the area of the triangle is 60 square centimeters, find its hypotenuse.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Monox D. I-Fly****Member**- Registered: 2015-12-02
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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,571

Hi,

The solution #3810 is correct. Brilliant, Monox D. I-Fly!

#3811. A dealer sells an article for $24 and gains as much percent as the cost price of the article. Find the cost price of the article.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Monox D. I-Fly****Member**- Registered: 2015-12-02
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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,571

Hi,

The solution #3811 is correct. Excellent, Monox D. I-Fly!

#3812. If two pipes function simultaneously, a reservoir will be filled in 12 hours. One pipe fills the reservoir 10 hours faster than the other. How many hours will the second pipe take to fill the reservoir?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,571

Hi,

#3813. If the list price of a toy is reduced by $2, a person can buy 2 more toys for $360. Find the original price of the toy.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,571

Hi,

#3814. In a group of swans, 7/2 times the square root of the total number are playing on the share of a pond. The two remaining ones are swinging in water. Find the total number of swans.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,571

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#3815. A bag contains 5 black, 7 red, and 3 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is:

(i) red

(ii) black or white

(iii) not black

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,571

Hi,

#3816. What is the probability that a number selected from the numbers 1, 2, 3, ...., 15 is a multiple of 4?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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