Question

A is 16 years older than B. But half the age of B is equal to 1/3 of A’s age. Find their present age.​

Answer 1

Answer:

Step-by-step explanation:

Suppose the age of A is P years and that of B is Q years.

According to question,

age of A = age of B + 16 years

P = Q + 16

⇒ P – Q = 16 ......(i)

Again, age of A = age of B

3 2

⇒ P = Q

3 2

⇒ 2P = 3Q

⇒ 2P – 3Q = 0 ......(ii)

From equations (i) and (ii) , we get

P = 48 years

∴ Q = 48 – 16 = 32 years

Thus, age of A = 48 years and age of B = 32 years