Ratio of the age of A and B is 6 : x. A is 18 years younger to C. After 9 years C will be 57 years old. If the difference between the ages of A and B is same as the age of C, then what is the value of x?
Answer & explanation
Correct answer: option 4
Present age of C = 57 - 9 = 48 years
Present age of A = 48 - 18 = 30 years
A : B
6 : x ..... (if 6 → 30 then 1 → 5)
↓×5
5x
Now, ATQ,
⇒ age of B - age of A = age of C
⇒ 5x - 30 = 48
⇒ x = \(\frac{78}{5}\) = 15.6