# Algebra Puzzle – Challenge 55

Who can solve this great math puzzle? This is for smart people who love teasing their brains with math challenges!

## Challenge:

Jason’s age is \(\frac{5}{8}\) of Alice’s age now. In ten years, the sum of Jason’s and Alice’s age will be 72. How old will Alice be in 5 years?

**A-** 20

**B-** 30

**C-** 32

**D-** 37

**E-** 42

### The Absolute Best Book** to ****challenge your Smart Student!**

The correct answer is D.

Let J be the Jason’s age and A be the Alice’s age. Then:

J =\( \frac{5}{8}\) A

In 10 years: (J + 10) + (A + 10) = 72

Replace J with its value in the first equation:

Then: \((\frac{5}{8} A + 10) + (A + 10) = 72 →1 \frac{5}{8} A = 52 → A = 32\)

In 5 years, Alice will be 37. (32 + 5 = 37)

### More math articles

- How to Prepare for the TASC Math Test?
- 5th Grade MEAP Math Practice Test Questions
- 5th Grade SC Ready Math Worksheets: FREE & Printable
- Top Calculators for the TASC 2022: Quick Review
- 5th Grade OST Math Practice Test Questions
- Free GED Math Worksheets [Updated for 2023]
- SSAT Lower Level Math Practice Test Questions
- Other Topics Puzzle – Challenge 99
- 4th Grade MAAP Math Worksheets: FREE & Printable
- How to Solve Infinite Geometric Series? (+FREE Worksheet!)

## What people say about "Algebra Puzzle - Challenge 55"?

No one replied yet.