Question

`1/8` of a number equals `2/5 ÷ 1/20`. What is the number?

Answer 1

Let the number be x.

Then, `1/8` of a number = `2/5 ÷ 1/20`  ......[Given]

`\implies 1/8 xx x = 2/5 xx 20`  ......`[∵ "Reciprocal of"  1/20 = 20]`

`\implies x/8` = 8

`\implies` x = 8 × 8

`\implies` x = 64

Hence, the number is 64.