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Select the correct answerFather's age is 25 years more than the son’s age. Four years hence, father’s age will become 1 year less than thrice the son's age. What is father's present age?Options32 years34 years36 years38 years

Question

Select the correct answerFather's age is 25 years more than the son’s age. Four years hence, father’s age will become 1 year less than thrice the son's age. What is father's present age?Options32 years34 years36 years38 years

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Solution

Let's solve this step by step:

Step 1: Let's assume the son's present age is x years. Then the father's present age will be x + 25 years.

Step 2: According to the problem, four years hence (which means four years from now), the father’s age will be 1 year less than thrice the son's age. We can write this as an equation: (x + 25 + 4) = 3(x + 4) - 1.

Step 3: Simplify the equation: x + 29 = 3x + 12 - 1.

Step 4: Further simplify the equation: x + 29 = 3x + 11.

Step 5: Rearrange the equation to solve for x: 2x = 18.

Step 6: Solve for x: x = 9. This is the son's present age.

Step 7: Substitute x = 9 into the father's age equation: Father's age = x + 25 = 9 + 25 = 34 years.

So, the father's present age is 34 years. The correct answer is 34 years.

This problem has been solved

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