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 Anoop is obtained. If Anup is 2 year younger to Madan whose age is 5 years, then what is Gagan's present age ?

Options

A. 48 years
B. 60 years
C. 84 years
D. 96 years

Answer

To solve the problem step by step, let's denote Gagan's present age as \( G \) and Anoop's present age as \( A \).

### Step 1: Understand the relationship between Gagan's age and Anoop's age.
According to the problem, if 6 years are subtracted from Gagan's age and the result is divided by 18, we get Anoop's age. This can be expressed mathematically as:
\[ \frac{G - 6}{18} = A \]

### Step 2: Determine Anoop's age using Madan's age.
We know that Anoop is 2 years younger than Madan, and Madan's age is given as 5 years. Therefore, we can calculate Anoop's age:
\[ A = 5 - 2 = 3 \]

### Step 3: Substitute Anoop's age into the equation from Step 1.
Now that we have Anoop's age, we can substitute \( A = 3 \) into the equation:
\[ \frac{G - 6}{18} = 3 \]

### Step 4: Solve for Gagan's age.
To find Gagan's age \( G \), we first multiply both sides of the equation by 18:
\[ G - 6 = 3 \times 18 \]
\[ G - 6 = 54 \]
Now, add 6 to both sides:
\[ G = 54 + 6 \]
\[ G = 60 \]

### Conclusion:
Gagan's present age is \( 60 \) years.

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