Question

A father's agefather is 27 years older than his son and sum of the digits used is 7, find theiris formed by reversing the two digits of his son's age. If theapresent ages.​

Answer 1

To find the ages of the father and son, we need to solve a system of equations. The sum of the digits is 7, and the father's age is formed by reversing the son's age. By solving these equations, we can determine the ages of both the father and son.

Step-by-step explanation:

To solve this problem, let's assume the son's age is represented as 'ab', where 'a' and 'b' are the two digits. According to the given information, the father's age is 27 years older than the son's age. So, the father's age can be represented as 'ab + 27'.

The sum of the two digits is 7. Therefore, 'a + b = 7'.

Additionally, the father's age is formed by reversing the two digits of the son's age. So, 'ab + 27' is equivalent to 'ba'.

We can now solve these equations:

1. 'a + b = 7'
2. '10a + b + 27 = 10b + a'

Solving these equations will give us the values of 'a' and 'b', which represent the ages of the son and father respectively.