Fifteen years from now Ravi's age will be four times his present age. What is Ravi's present age ?

Question

Accepted Answer

To determine Ravi's present age, we need to analyze the information given in the question: "Fifteen years from now Ravi's age will be four times his present age."

Let's denote Ravi's present age as $ x $.

According to the problem, in fifteen years, Ravi's age will be $ x + 15 $.

The problem states that this future age is four times his present age, which can be expressed as:

$$ x + 15 = 4x $$

Now, let's solve this equation:

1. Subtract $ x $ from both sides to isolate terms involving $ x $:

$$ 15 = 4x - x $$

2. Simplify the equation:

$$ 15 = 3x $$

3. Divide both sides by 3 to solve for $ x $:

$$ x = \frac{15}{3} $$

$$ x = 5 $$

Therefore, Ravi's present age is 5 years, which corresponds to Option 2.

**Explanation for why each of the other options is incorrect:**

1. **Option 1 (15 Yrs.):** If Ravi's present age were 15 years, then fifteen years from now, he would be 30 years old. However, 30 is not four times 15, as four times 15 is 60. Therefore, this option is incorrect.

2. **Option 3 (10 Yrs.):** If Ravi's present age were 10 years, then fifteen years from now, he would be 25 years old. However, 25 is not four times 10, as four times 10 is 40. Therefore, this option is incorrect.

3. **Option 4 (4 Yrs.):** If Ravi's present age were 4 years, then fifteen years from now, he would be 19 years old. However, 19 is not four times 4, as four times 4 is 16. Therefore, this option is incorrect.

In conclusion, the only option that satisfies the condition given in the problem is Option 2, where Ravi's present age is 5 years.