# Algebra Puzzle – Challenge 33

Who can solve this great math challenge? It is for those who enjoy challenging their brains!

## Challenge:

12 years is the difference between Alex’s age and Ron’s age. If the ratio of their ages is 3:5, what is the sum of their ages?

A- 20

B- 30

C- 48

D- 60

E- 66

$11.99 Satisfied 123 Students The correct answer is C. Let A be Alex’s age and R be Ron’s age. The ratio of their ages is 3 to 5 and the difference between their ages is 12 years. Therefore, $$R = A + 12$$ and $$A = \frac{3}{5} R$$ Replace A in the first equation with its value in the second equation. $$R = A + 12 → R = \frac{3}{5} R + 12 → \frac{2}{5} R = 12 → R = 30$$ and $$A = 18$$ The sum of their ages is 48. ### More math articles ### What people say about "Algebra Puzzle - Challenge 33"? No one replied yet. X 30% OFF Limited time only! Save Over 30% SAVE$5

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