# Algebra Puzzle – Challenge 40

This is a perfect mathematics puzzle for those who enjoy solving hard math and critical thinking challenges. Let's challenge your brain!

## Challenge:

What is the average of three numbers if the sum of the first and second number is \(\frac{11}{5}\), the sum of the second and third number is \(\frac{31}{15}\), and the sum of the first and third umber is \(\frac{7}{3}\)?

**A-** \(\frac{13}{15}\)

**B-** \(1\frac{1}{10}\)

**C-** \(\frac{18}{15}\)

**D-** \(2\frac{1}{5}\)

**E-** \(6\frac{3}{5}\)

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

The correct answer is B.

Let X, Y and Z represent the three numbers. Therefore:

\(X + Y = \frac{11}{5}, Y + Z = \frac{31}{15}, X + Z = \frac{31}{15}\)

Add the three questions:

\((X + Y) + (Y + Z) + (X + Z) = \frac{11}{15} + \frac{31}{15} + \frac{7}{3}\)

\(2X + 2Y + 2Z = \frac{99}{15} → 2 (X + Y + Z) = \frac{99}{15} → X + Y + Z = \frac{99}{30 }= \frac{33}{1}\)

The average of the three numbers is:

\(\frac{X + Y + Z}{3 }= \frac{33}{10} ÷ 3 = \frac{33}{30} = \frac{11}{10}\)

### More math articles

- The Ultimate SHSAT Math Formula Cheat Sheet
- PSAT 10 Math Practice Test Questions
- How to Prepare for the SBAC Math Test?
- How to Write a Formula for a Recursive Sequence
- Full-Length SSAT Lower Level Math Practice Test
- Properties of Logarithms
- 8th Grade PEAKS Math Worksheets: FREE & Printable
- 3rd Grade MAP Math FREE Sample Practice Questions
- Triangles
- Easy Ways To Overcome Your Fear Of Math￼

## What people say about "Algebra Puzzle - Challenge 40"?

No one replied yet.