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ect 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 years38 years36 years

Question

ect 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 years38 years36 years

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Solution

Let's denote the son's current age as S and the father's current age as F.

From the problem, we know two things:

  1. The father's age is 25 years more than the son's age. This can be written as: F = S + 25

  2. Four years from now, the father's age will be 1 year less than three times the son's age. This can be written as: F + 4 = 3(S + 4) - 1

Now we can solve these equations step by step:

Step 1: Substitute F from the first equation into the second equation:

(S + 25) + 4 = 3(S + 4) - 1

Step 2: Simplify the equation:

S + 29 = 3S + 12 - 1

Step 3: Simplify further:

S + 29 = 3S + 11

Step 4: Rearrange the equation to find S:

2S = 18

Step 5: Solve for S:

S = 9

Step 6: Substitute S = 9 into the first equation to find F:

F = S + 25 = 9 + 25 = 34

So, the father's present age is 34 years. Therefore, the correct option is 34 years.

This problem has been solved

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