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The ratio between the present ages of P and Q is 5:7 respectively.If the difference between Q's present age and P's age after 6 years is 2.What is the total P's and Q's present ages?30 years40 years36 years48 years

Question

The ratio between the present ages of P and Q is 5:7 respectively.If the difference between Q's present age and P's age after 6 years is 2.What is the total P's and Q's present ages?30 years40 years36 years48 years

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Solution

Let's solve this step by step:

Step 1: Let's assume the present ages of P and Q are 5x and 7x respectively.

Step 2: According to the problem, the difference between Q's present age and P's age after 6 years is 2. So, we can write this as: 7x - (5x + 6) = 2

Step 3: Simplify the equation: 7x - 5x = 2 + 6, which simplifies to 2x = 8

Step 4: Solve for x: x = 8 / 2 = 4

Step 5: Now, substitute x = 4 in the expressions of P and Q's ages: P's age = 5x = 54 = 20 years and Q's age = 7x = 74 = 28 years

Step 6: The total of P's and Q's present ages = 20 + 28 = 48 years

So, the correct answer is 48 years.

This problem has been solved

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