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Select the correct answerThe difference between the present ages of Praveen and Javed is 4 years. The ratio of their ages after 5 years will be 9: 8. What is Praveen's age at present?Options24 years31 years32 years28 years

Question

Select the correct answerThe difference between the present ages of Praveen and Javed is 4 years. The ratio of their ages after 5 years will be 9: 8. What is Praveen's age at present?Options24 years31 years32 years28 years

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Solution

Let's denote Praveen's present age as P and Javed's present age as J. We know from the problem that:

  1. P - J = 4 (The difference between their present ages is 4 years)

We also know that the ratio of their ages in 5 years will be 9:8. This means:

  1. (P + 5) / (J + 5) = 9/8

We can solve these two equations to find the values of P and J.

First, let's rearrange equation 1) to get P = J + 4.

Next, we substitute P in equation 2) with J + 4:

(J + 4 + 5) / (J + 5) = 9/8 (J + 9) / (J + 5) = 9/8 8*(J + 9) = 9*(J + 5) 8J + 72 = 9J + 45 J = 72 - 45 = 27

Substitute J = 27 into equation 1) to get P = 27 + 4 = 31.

So, Praveen's present age is 31 years. The correct answer is 31 years.

This problem has been solved

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