NIELIT 2022 Feb Scientist C - Section D: 7

Question

Out of three given numbers, the first one is twice the second and three times the third. If the average of these numbers is $88,$ then the difference between the second and third is :

• A. $24$
• B. $48$
• C. $72$
• D. $96$

Answer 1

Let’s assume that first number is $x$, second number is $x/2$ third number is $x/3$.

Now according to the given questions

$\implies\frac{x+\frac{x}{2}+\frac{x}{3}}{3}=88$

$\implies \frac{6x+2x+3x}{6}=88*3$

$\implies 11x=88*18$

$\implies x=144$

therefore

1. first number =$144$
2. second number =$72$
3. third number= $48$

So the difference between the second and third numbers is =$72-48=24$

Option $(A)$ is correct.