Question
The ratio of the present age of mother and son is 11:5.
5-years ago the father's age was 5 years less than thrice the age of son and 6 years hence the age of mother is 1 year less than twice the age of son. What will be the sum of ages of mother, father and son after 12 years.Solution
Let the age of mother and sone be 11x and 5x. Father’s age 5 years ago= 3 x (5x-5) - 5 = 15x-20 As per the question, 11x+6 = 2 x (5x+6) -1 11x+7 = 10x+12 x=5 Age of mother and son are 55years and 25years, respectively Age of father 5 years ago = (15x5)-20 = 75-20 = 55 years Present age of father = 60 years Sum of the age of father, mother, and son after 12 years = (60+55+25) +(12+12+12) = 140+36 = 176 years.
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