Question

4 years ago my father's age was 4 times
that of my age. At present the sum of my father's age and
that of mine is 53 years. What is my father's present age ?
​

Answer 1

Solution:

Let Child's age be x and his father's age be y

•°•

$y - 4 = 4(x - 4) \\ y - 4 = 4x - 16 \\ 4x - y = 12 \\ 4x - 12 = y$

and,

$x + y = 53 \\ x + 4x - 12 = 53 \\ 5x = 65 \\ x = 13$

putting x value to get y

$y = 4x - 12 \\ y = 4(12) - 12 \\ y = 36$

•°• Father's present age is 36 years

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