NIELIT 2022 April Scientist B | Section A | Question: 41

Question

Sum of present age of Suresh and Dinesh is equal to the age of Hema six years back. Five years from now, the ratio of age of Suresh and Dinesh will be $3:2.$ Rajesh is $5$ years older than Hema and his present age is four times the present age of Suresh. What is present age of the Dinesh ?

• A. $1$ year
• B. $10$ years
• C. $2$ years
• D. $12$ years 

Answer 1

Answer : A

Let Suresh-S, Dinesh-D, Hema-H

From 1^st condition, S+D = H-6 ---- 1

From 3^rd Conditon, R=H+5, R=4S => Combining these 2, H+5=4s  =>  H=4S-5 ---- 2

From 2^nd Condition, (S+5)(D+5) = 3/2 => 2S-3D = 5 -----3

From 1 and 3, S+D = 4S-5-6 => 3S-D=11 -----4

Solving 4 and 3, We get D=1