Question

Holly is thinking of a number.

3/4 of Holly's number is 39.

Work out the number Holly is thinking of.

Answer 1

52.

Explanation:

Take the number Holly's thinking as '
`x`'.

`(3)/(4)` of
`x` is 39

`(3)/(4)` x
`x` = 39

3
`x` = 39 x 4

3
`x` = 156

`x` =
`(156)/(3)`

`x` = 52.

The number Holly thought of was '52'.

Answer 2

52

Explanation:

To find the number multiply 39 by the reciprocal of
`(3)/(4)`, that is
`(4)/(3)`

number =
`(4)/(3)` × 39 = 4 × 13 = 52