# 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

### The Absolute Best Book to Challenge Your Smart Student!

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.

The Absolute Best Books to Ace AlgebraOriginal price was: $29.99.$19.99Current price is: $19.99.Original price was: $29.99.$14.99Current price is: $14.99.Original price was: $29.99.$14.99Current price is: $14.99.Satisfied 1 StudentsOriginal price was: $24.99.$14.99Current price is: $14.99.Satisfied 92 StudentsOriginal price was: $24.99.$15.99Current price is: $15.99.Satisfied 125 Students

## Related to This Article

### More math articles

- Detour of Variable Changes: A Complete Exploration of Related Rates
- Long Division using 1 Number
- Full-Length 6th Grade MCAS Math Practice Test
- ISEE Middle Level Math Formulas
- How to Factor by GCF?
- Cofunction Identities
- How to Bisect an Angle Step-by-Step in Geometry
- Addition of 3-Digit Numbers
- How to Find Equation of a Circle? (+FREE Worksheet!)
- How to Analyze and Understand Rational Functions: A Comprehensive Guide

## What people say about "Algebra Puzzle – Challenge 33 - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.