Father'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
Father'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
Solution
Let's solve this step by step:
Step 1: Let's assume the son's present age is X years.
Step 2: According to the problem, the father's present age is X + 25 years.
Step 3: Four years hence, the son's age will be X + 4 and the father's age will be X + 25 + 4 = X + 29.
Step 4: According to the problem, four years hence, the father’s age will become 1 year less than thrice the son's age. So, we can write this as: X + 29 = 3*(X + 4) - 1.
Step 5: Simplifying the equation, we get X + 29 = 3X + 12 - 1.
Step 6: Further simplifying, we get X + 29 = 3X + 11.
Step 7: Rearranging the terms, we get 3X - X = 29 - 11.
Step 8: This simplifies to 2X = 18.
Step 9: Solving for X, we get X = 18/2 = 9. So, the son's present age is 9 years.
Step 10: Substituting X = 9 in the father's age equation, we get the father's present age = 9 + 25 = 34 years.
So, the father's present age is 34 years.
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