Question

A student had multiplied a number by `4/3` instead of dividing it by `4/3` and got 70 more than the correct answer. Find the number

Answer 1

Let the number = a

`"a" xx 4/3 - "a" ÷ 4/3` = 70

`"a" xx 4/3 - "a" xx 3/4` = 70

`"a"[4/3 - 3/4]` = 70

`"a"[(4 xx 4 - 3 xx 3)/12]` = 70

`"a"[(16 - 9)/12]` = 70

`"a"[7/12]` = 70

a = `70 xx 12/7` = 120

a = 120