Algebra Puzzle – Challenge 47

Try using critical thinking challenges to help you or your student improve strategic thinking and logic skills.

Algebra Puzzle – Challenge 47

Challenge:

In 2013, the product of the ages (in integers) of a father and his son is 2013. What is the difference of their ages in 2015?

A- 20

B- 24

C- 28

D- 30

E- 32

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The correct answer is C.

Find the factors of 2013:
1, 3, 11, 33, 61, 671, 2013
From all the factors of 2013, only 33 and 61 could be the ages of a father and his son. (The product of two ages should be 2013)
The difference of 61 and 33 is 28 years and this number won’t change in 2015!

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