THE GATEBOOK

Normalization Lectures

Todays age of Vikas and Amit are in ratio of 3:4 respectively. The ratio of their ages becomes 7:9 respectively, after 5 years. What is Vikas present age is ? (A) 36 years (B) 28 years (C) 30 years (D) 40 years

V / A = 3 / 4

Let the common factor be 'x'.

V = 3x & A = 4x be their present ages.

After 5 years, V = 3x + 5 & A = 4x + 5

3x + 5 / 4x + 5 = 7 / 9

So, 27x + 45 = 28x + 35

So, x = 10

Now, V = 3x = 3 * 10 = 30

Hence, present age of Vikas is 30 years.

Ans.: 30 years