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Select the correct answerIf 4 years ago the ratio between the ages of P and Q was 5 : 6 and the sum of their ages at present is 52 years, what is the ratio of their present ages ?Options7 : 86 : 75 : 64 : 5

Question

Select the correct answerIf 4 years ago the ratio between the ages of P and Q was 5 : 6 and the sum of their ages at present is 52 years, what is the ratio of their present ages ?Options7 : 86 : 75 : 64 : 5

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Solution

Let's solve this step by step:

Step 1: Let's assume the ages of P and Q, 4 years ago, were 5x and 6x respectively.

Step 2: According to the problem, the sum of their present ages is 52 years. But since we're talking about their ages 4 years ago, we need to account for those 4 years for both P and Q. So, the equation becomes: 5x + 4 + 6x + 4 = 52

Step 3: Simplify the equation: 11x + 8 = 52

Step 4: Solve for x: 11x = 52 - 8 = 44, so x = 44 / 11 = 4

Step 5: Now that we know x, we can find the present ages of P and Q. P is now 5x + 4 = 20 + 4 = 24 years old, and Q is now 6x + 4 = 24 + 4 = 28 years old.

Step 6: Therefore, the ratio of their present ages is 24 : 28, which simplifies to 6 : 7.

So, the correct answer is 6 : 7.

This problem has been solved

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