Question

A third of a number minus 8 is 17 What is the number

Answer 1

Answer:

The number is 75

Step-by-step explanation:

Let the number be x

A third of a number is written as

$\frac{1}{3} x$

A third of a number minus 8 is written as

$\frac{1}{3} x - 8$

The result is 17

We have

$\frac{1}{3} x - 8 = 17$

Add 8 to both sides of the equation

That's

$\frac{1}{3} x + 8 - 8 = 17 + 8 \\ \frac{1}{3} x = 25$

Multiply through by 3 to eliminate the fraction

That's

$3 \times \frac{1}{3} x = 25 \times 3 \\ x = 2 5 \times 3 \\ x = 75$

The number is 75

Hope this helps you