Question
Seven years ago, Prachi was four times as old as her
daughter was at that time. Four years from now, Prachi will be twoand-a-half times as old as her daughter would then be. Find the sum of the present ages (in years) of Prachi and her daughter.Solution
Seven years ago, let daughter's age be x yrs,then Prachi's age = 4x Acc to question, 4 yrs from now, (4x + 7 + 4) = (5/2) x (x + 7 + 4) 5x + 55 = 8x + 22 x = 11 Now, present ages of prachi and her daughter, Daughter's age = 11 + 7 = 18 Prachi's sge = 44 + 7 = 51 Required answer = 51 + 18 = 69 yrs
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