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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,309

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,395

Hi bobbym,

The solution #1638 is perfect. Brilliant!

#1639. A can do a job in 9 days while B is twice as fast. In how many days would the same job done if they work together?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,309

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

Hi ganesh

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,395

Hi bobbym and anonimnystefy,

The solution #1639 is perfect. Good work!

#1640. If 20 workers can complete a task in 45 days, how many more workers would be required to complete it in 30 days?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,309

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,395

Hi bobbym,

The solution #1640 is perfect. Neat work!

#1641. A is four times as good a workman as B and takes 12 days less to do a piece of work than B takes. In how many days B alone can do the whole work?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,309

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,395

Hi bobbym,

The solution #1641 is correct. Neat work!

#1642. 25 men take 20 days to complete a certain work. 15 men left the work after some days. If the remaining work was completed in 37.5 days, after how many days did 15 men leave the work?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,309

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,395

Hi bobbym,

The solution #1642 is perfect. Brilliant!

#1643. Find the prime factorization of the following numbers:

(a) 1152

(b) 1296

(c) 1440

(d) 1584

(e) 1728

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,309

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,395

Hi bobbym,

The solutions (b), (c), and (d) are correct. Good work!

#1644. Given the Greatest Common Divisor (306, 657) = 9, find the Least Common Multiple (306, 657).

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,309

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,395

Hi bobbym,

The solution #1644 is correct. Neat work!

#1645. Find the Least common multiple and Greatest common divisor of 35, 48, 56 by applying the prime factorization method.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,309

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,395

Hi bobbym,

The solution #1645 is perfect. Good work!

#1646. Solve : 4x - 3y - 8 = 0 and 6x - y - 29/3 = 0.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,309

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,395

Hi bobbym,

The solution #1646 is correct. Good work!

#1647. Solve : 4x + 7y = 20 and x - 13y = 21.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,309

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,395

Hi bobbym,

#1648. Solve : 4x + 6/y = 15 and x - 8/y = 14.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,309

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,395

Hi bobbym,

#1649. Solve : 5x + 3y = 70 and 3x - 7y = 60.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,309

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,395

Hi bobbym,

The solution #1648 is correct; my aplology.

The solution #1649 is perfect. Brilliant!

#1650. Solve : x/2 - y/5 = 4 and x/7 + y/15 = 3.

Character is who you are when no one is looking.

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