Quantitative Aptitude: Ages [Section 1 of 1] Q7 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 28:22Select 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?
Question
Quantitative Aptitude: Ages [Section 1 of 1] Q7 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 28:22Select 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?
Solution
To solve this problem, we can set up two equations based on the information given and then solve for the variables.
Let's denote: F = Father's current age S = Son's current age
From the problem, we know that:
- F = S + 25 (since the father's age is 25 years more than the son's age)
- F + 4 = 3(S + 4) - 1 (four years from now, the father's age will be one less than three times the son's age)
We can substitute equation 1) into equation 2) to solve for S:
(S + 25) + 4 = 3(S + 4) - 1 S + 29 = 3S + 12 - 1 S + 29 = 3S + 11 2S = 18 S = 9
Substitute S = 9 into equation 1) to find F:
F = 9 + 25 F = 34
So, the father's current age is 34 years.
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