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## #1 2013-09-05 14:01:14

Nina1784
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### Number Puzzles

I was give a worksheet... And I need to find the base numbers from the product of 14 and the sum of 15. the base numbers have to be the same and equal to the product and sum given. I'm trying to find a method the would help me find the base numbers. please help i have eleven questions that need answers.

example :      X14
_?_      _?_
+15

Last edited by Nina1784 (2013-09-05 14:03:35)

## #2 2013-09-05 14:10:33

bobbym

Online

### Re: Number Puzzles

Hi;

This is what it looks like on my browser, I do not understand what you need. Please provide a better explanation.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #3 2013-09-05 14:36:27

Nina1784
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### Re: Number Puzzles

The example that i have given is similar to the worksheet.
The two questions mark are were the base numbers should be. so i have to find what to base numbers equal the product of x14 and the sum of +15. but the base numbers have to be the same like 2x12 =24, 2+12=14 So what im asking is how do i find the base numbers?
Im trying to explain the best i can... thank you for your help

## #4 2013-09-05 14:47:17

Agnishom
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### Re: Number Puzzles

Of course the answer is 14 and 1

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -Alokananda

## #5 2013-09-05 15:00:26

Nina1784
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### Re: Number Puzzles

OMG ... when i seen the answer I felt stupid... I know that i have to list the numbers of what it could be until i find both numbers that match... i guess i really need to work on my multiplication. Thank you Agnishom

## #6 2013-09-05 15:07:48

Agnishom
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### Re: Number Puzzles

Welcome.

You will need these a lot when you learn middle term factorisation

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -Alokananda

## #7 2013-09-05 16:53:37

bob bundy
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### Re: Number Puzzles

hi Nina1784

Welcome to the forum.

I'm trying to find a method the would help me find the base numbers

That formula does provide a guaranteed method for finding the two numbers but it may be easier just to look for answers like this:

Write down all the factor pairs for the product number (c = 14 in your example) and then try them to see if any add to make the sum ( b = 15)

So 14 = 14 x 1 or 7 x 2.  You can quickly see that the first pair works (14 + 1 = 15)

If you get any that you cannot solve, post them here and we'll help some more.

** I'll tell you this if you want.

Bob

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei