In 1979, Ramesh's age was the sum of the digits of his year of birth. In 2017, on his birthday, what was his age?

Correct option is C

​Given:

• In 1979, Ramesh's age was equal to the sum of the digits of his year of birth.
• We need to determine his age in 2017.

Concept:

1. Let Ramesh's year of birth be x.
2. His age in 1979 is calculated as 1979 - x, which is equal to the sum of the digits of x.
3. Using this, we can solve for x and then calculate his age in 2017.

Solution:

Assume the year of birth is x = 1900 + 10a + b, where a and b are the last two digits of the year.

The sum of the digits of x is 1 + 9 + a + b, which equals 10 + a + b.

Given 1979 - x = 10 + a + b, substitute x = 1900 + 10a + b into the equation:1979 - (1900 + 10a + b) = 10 + a + b.

Simplify:79 - 10a - b = 10 + a + b.

Combine terms:69 = 11a + 2b.

Solve for a and b:

Let a = 5. Substitute into 11a + 2b = 69:

11(5) + 2b = 69,55 + 2b = 69,2b = 14, so b = 7.

The year of birth is 1900 + 10(5) + 7 = 1957.

Calculate Ramesh's age in 2017: 2017 - 1957 = 60

​Final Answer:

Ramesh's age in 2017 was 60 years.