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Nisha is 15 years elder to Romi. If 5 years ago, Nisha was 3 times as old as Romi, then find Nisha’s present age.

Question

Nisha is 15 years elder to Romi. If 5 years ago, Nisha was 3 times as old as Romi, then find Nisha’s present age.

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Solution

Sure, let's solve the problem step by step.

Let's assume Romi's present age as 'x'.

According to the given information, Nisha is 15 years elder to Romi. So, Nisha's present age can be represented as 'x + 15'.

Now, let's consider the second piece of information. 5 years ago, Nisha was 3 times as old as Romi. So, we can write the equation as:

(x + 15 - 5) = 3(x - 5)

Simplifying the equation:

x + 10 = 3x - 15

Bringing all the 'x' terms to one side:

3x - x = 10 + 15

2x = 25

Dividing both sides by 2:

x = 12.5

Since we cannot have a fraction for age, we can round it up to the nearest whole number. Therefore, Romi's present age is 13.

Now, we can find Nisha's present age by substituting the value of 'x' into the equation:

Nisha's present age = x + 15 = 13 + 15 = 28

Therefore, Nisha's present age is 28 years.

This problem has been solved

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