Question

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

Answer 1

let num be "A"

A*3/2 -(A/3/2)=10

3A/2 - 2A/3 =10

9A-4A/6= 10

5A/6 =10

A/6 =2

A=12

Answer 2

Answer:

(b) 12

Step-by-step explanation:

Let x be the original number,

After multiplying by 3/2,

New number = $\frac{3}{2}\times x$ = $\frac{3x}{2}$,

While, after dividing by 3/2,

New number = $\frac{x}{3/2}$ = $\frac{2x}{3}$

According to the question,

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

$\frac{9x-4x}{6}=10$

$\frac{5x}{6}=10$

$\frac{x}{6}=2$

$\implies x = 12$

Hence, OPTION b is correct.

Learn more :

$8\div \frac{7}{3}=?$

https://brainly.in/question/12024388

Fraction multiplication :

https://brainly.in/question/8179493