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Class 10 > Learn Mathematics > The sum of two children is ‘a’. The age of the father...
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The sum of two children is ‘a’. The age of the father is twice the ‘a’. After twenty years, his age will be equal to the addition of the ages of his children. Find the age of father.

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age of father is 40.(2a+20= a + (2*20) where father age is 2a.
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A. T. Q,sum of the age'z of two children is X+y=a .........1 Age of father will be twice the age of children Z=2a..........2 After 20yrs. Age will be, Z+20=x+y+40 By using 1 and 2 eq. We get 2a+20=a+40 a=20 Therefore, father's age will be 40 yrs(2a).
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Given sum of two childrens age is a Father's age be 2a After 20 years father's age is 2a+20 Sum of childrens age is a+40 Form given data, 2a+20=a+40 2a-a=40-20 a=20 Father's present age is 2a=2×20=40
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40
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Sum of two children's age=a So, Father's age=2a After 20 years, Sum of children's age=a+20+20=a+40 Father's age=2a+20 By question, a+40=2a+20 =>a=20 So, Father's age=2a=2*20=40 years.
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