The ratio of the present ages of Ravi and Hari is 7 : 5 respectively. The difference between their ages is 12 years. Find Ravi’s age after 4 years.

The correct option is 46 years.

To find Ravi's age after 4 years, we can break down the problem into simple steps:

Step 1: Set up the equations for their present ages
We are given that the ratio of the present ages of Ravi and Hari is $7:5$.
Let the present age of Ravi be $7x$ years.
Let the present age of Hari be $5x$ years, where $x$ is a positive constant.

Step 2: Use the difference between their ages to find $x$
The difference between their ages is given as 12 years. We can write this relationship as:

$7x-5x=12$

Simplifying the left side of the equation:

$2x=12$

Dividing both sides by 2, we find:

$x=6$

Step 3: Calculate Ravi's present age
Using the value of $x=6$, Ravi's present age is:

$7x=7\times 6=42$ years.

Step 4: Find Ravi's age after 4 years
To find his age 4 years from now, we add 4 to his present age:

$42+4=46$ years.

Therefore, Ravi's age after 4 years will be 46 years.