Let the present age of daughter = x yr and present age of mother = y yr According to the question, x + y = 63 ... (i) 4yr back, Daughter's age = (x - 4) yr Mother's age = (y - 4) yr ∴ 4(x - 4) = y - 4 4x -16 = y - 4 4x - y = 12 .... (ii) From Eqs. (i) and (ii), we get x + y = 63 ⇒ 4x-y = 12 ∴ x = 15yr x + y = 63 ⇒ 15 + y = 63 ⇒ y = 48 yr Hence, present age of mother = 48 yr.