Question

A's father is 35 year younger than his grandfather,and grandfather is 63 yrs older then him . The sum of the ages of all three is 112 yrs . Find the age of each one of them.

Answer 1

Here is your answer dear⤵️


Let the age of A be x years.

Then,

x + (x + 35) + (x + 63) = 112

x + x + 35 + x + 63 = 112

or x + x + x + 35 + 63 = 112 (bring thrice X in one side and all the other numbers in one side)

=> 3x + 98 = 112

=> 3x = 121 - 98

=> 3x = 23

x = $\frac{23}{3}$

x = 7.6


Therefore, the age of A is 7 years and 6 months

Answer 2

Let the age of grandfather of A be x years,


So, Age of A's father = (x - 35) years

Age of A = (x - 63) years




Given that sum of their ages = 112

x + x - 35 + x - 63 = 112

3x - 98 = 112

3x = 112 + 98

3x = 210

x = 70




Hence, Age of grandfather = x = 70 years

Age of father = (x - 35) = 70 - 35 = 35 years


Age of A = x - 63 = 70 - 63 = 7 years






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