‘B’ is 3 years elder to ‘A’ and ‘B’ is also 3 years younger to ‘C’. 3 years hence, the respective ratio between the ages of A and C will be 4:5. What is the sum of the present ages of A, B and C
- 48 years
- 56 years
- 63 years
- 84 years
- 72 years
- Explanation:
Let the present age of A = x years
Present age of C = (x+6) years
Present age of C = (x+6) years
According to question
x+3/x+6+3= 4/5
⇒ 5x+15=4x+36
⇒ x=21 years
∴ The sum of the present ages of A, B and C
= x+x+3+x+6= 3x+9
=3×21+9= 63+9=72 years