Question

A number is divided in the ratio 8:1. If the second part is 13, find the number.

Answer 1

117

Step-by-step explanation

A number is divided in the ratio 8 : 1 and the second part is 13.

The total ratio is:

8 + 1 = 9

Let the number divided be x.

This means that:

`(1)/(9)\cdot\text{ x = 13}`

Simplify:

`\begin{gathered} \text{Multiply through by 9:} \\ x\text{ = 13 }\cdot\text{ 9} \\ x\text{ = }117 \end{gathered}`

Therefore, the number is 117.