Question
The age of Manish is half of that of his mother. His
mother is 9 years younger to his father, and Manish is 7 years older than his sister. The age of his father is three times that of his sister, what is the age of Manish?Solution
Let Age of Manish's Mother = X Age of Manish = X/2 Age of Manish's father = X + 9 Age of Manish's Sister = (X/2) β 7 The age of his father is three times that of his sister β X + 9 = 3 {(X/2) β 7) β X + 9 = 3X/2 β 21 β X + 9 = 1.5X β 21 β 9 + 21 = 1.5X β X β 0.5X = 30 β X = 60. Age of Manish = X/2 = 60/2 = 30 Years.
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