Question

A's age was as much as 4 times than B before 2 years. A's age will become as much as 12 years more than B after 8 years. find the ratio of ages of A and B.​

Answer 1

Step-by-step explanation:

Let the age of A be 'a' years

2 years ago, Age of B will be 1/4×(a-2)

B's present age will be 1/4(a-2) + 2

After 8 years,

(a+8)= ( 1/4(a-2) + 2 + 8 ) + 12

a= 1/4a - 1/2 +14

4a = a - 2 + 56

3a = 54

a= 18

B' age= 1/4(a-2) +2 = 1/4×16 +2 = 6

Therefore, ratio of A:B = 18:6 = 3:1