Question

A student was asked to multiply a number by 3/2 but he divided that number by 3/2.His resultwas 10 less than the correct answer. The number was: (a) 10(6) 12(c) 15 .(d) 20.​

Answer 1

Answer:

The answer is 12

Step-by-step explanation:

Let the unknown number be 'x'

He was asked to multiply the number by $\frac{3}{2}$

The answer that he would have got = $\frac{3x}{2}$

But he divided the number by  $\frac{3}{2}$

The answer he got = $\frac{2x}{3}$

The result he obtained is 10 less than the actual answer

So we can say that

$\frac{2x}{3}$ + 10 = $\frac{3x}{2}$

$\frac{2x+30}{3}$ = $\frac{3x}{2}$

9x = 4x + 60

5x = 60

x = 12

Hence the number is 12

HOPE IT HELPS !!