Question

The sum present ages of a father and his son is 36 years. When the son reaches father's present age, the sum of their ages will be 80 years. What is the present age of the son?​

Answer 1

Answer: The present age of son is 7 .

Step-by-step explanation:

Let the present age of a father and his son be a and b .

According to the question,

x + y = 36

x = 36 - y       Equation (1)

Due to God's grace both lives for p years.

After p years their ages,

Father's age = x + p

Son's age = y + p

Sum of their ages = 80

x + p + y + p = 80

x + y + 2p = 80       Equation (2)

36 + 2p = 80      { From equation (1)}

2p = 80 - 36

2p = 44

p = 44/2

p = 22

As we know that son's age after 22 years is equal to father's present age,

y + p = x

y + 22 = 36 - y

y + y = 36 - 22

2y = 14

y = 14/2

y = 7

Put the value of y in equation (1),

x = 36 - 7

x = 29

I hope this answer is helpful for you.