Question

Vishnu is 4 years older than Tom. Tom is 4 years older than Rajesh .Rajesh is 4 years older than Nivin. Nivin's age is half the age of Vishnu .But can you tell everyone's age?​

Answer 1

ANSWER:

• Vishnu's age = 24

• Tom's age = 20

• Rajesh's age = 16

• Nivin's age = 12

GIVEN:

• Vishnu is 4 years older than Tom.

• Tom is 4 years older than Rajesh.

• Rajesh is 4 years older than Nivin.

• Nivin's age is half the age of Vishnu.

TO FIND:

• Vishnu's age.

• Tom's age.

• Rajesh's age.

• Nivin's age.

EXPLANATION:

Let Vishnu's age be x

Tom's age = x - 4

Rajesh's age = x - 4 - 4 = x - 8

Nivin's age = x - 8 - 4 = x - 12

Also Nivin's age = x / 2

This is the question's loophole and we make use of it.

Equate x / 2 = x - 12 (Since both are the age of Nivin)

x = 2x - 24

- x = - 24

x = 24

Vishnu's age = 24

Substitute x value in the respective ages.

Tom's age = x - 4 = 24 - 4 = 20

Rajesh's age = x - 8 = 24 - 8 = 16

Nivin's age = x - 12 = 24 - 12 = 12

VERIFICATION:

Nivin's age = x - 8 - 4 = x - 12 = x / 2

Substitute x = 24

24 - 12 = 24/2

12 = 12

HENCE VERIFIED.