Let x years be the present age of A & y years be the present age of B. Sum of present ages = 47 → x + y = 47 …. Equation (1) Then, After 5 years Age of A = x + 5 Age of B = y + 5 Ratio=x + 5/y + 5= 8/11 By solving it we get: 11x - 8y = -15 …… Equation (2) By solving equation (1) and equation second we get: x = 19 & y = 28. Hence, the present age of A is 19 years.