# If 6 years are subtracted from the present age of Gagan and the remainder is divided by 18, then the present age of his grandson Anup is obtained. If Anup is 2 years younger to Madan whose age is 5 years, then what is Gagan’s present age?

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Updated on: September 25th, 2023

If 6 years are subtracted from the present age of Gagan and the remainder is divided by 18, then the present age of his grandson Anup is obtained. If Anup is 2 years younger to Madan whose age is 5 years, then the present age of Gagan will be 60.

To understand how we get this answer, refer to the detailed solution below. We will derive the age of Madan to calculate the current age of Gagan by using the age Anup which is already provided as 2 years.

## Solution

To calculate the present age of Gagan as per the data provided, we will use algebra. Now, we will assume that,

Gagan’s age is a

Anup’s age is b

Now, as per the information available to us, we will get two equations which are –

(a-6)/18 = b and

a=c-2

c=5 years

Hence, the value of b will be –

b=5-2

b=3 years

Now we have c = 6 years and b = 3 years, so, to find the value of a, we will solve the following equation-

(a-6)/18=3

a-6=54

a=60 years.

Thus, the present age of Gagan is 60 years.

## Alternative Solution

Another way to solve this problem and find out the age of Gagan is to solve the following equation –

First, we will find Anup’s age which will be –

5 – 2 = 3 years

Let us assume Gagan’s age to be y years.

Then, y−618=3

=y – 6 = 54

=y = 60 years

Thus, the age of Gagan will be 60 years.

Summary:

## If 6 years are subtracted from the present age of Gagan and the remainder is divided by 18, then the present age of his grandson Anup is obtained. If Anup is 2 years younger to Madan whose age is 5 years, then what is Gagan’s present age?

The present age of Gagan will be 60 years considering if 6 years are subtracted from the present age of Gagan and the remainder is divided by 18, then the present age of his grandson Anup is obtained and Anup is 2 years younger than Madan whose age is 5 years. The answer is obtained by using the methods of algebra.

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