elect the correct answerThe present ages of Amit and his father are in the ratio of 2 : 5 respectively. Four years hence the ratio of their ages will become 5 : 11 respectively. What was the father’s age 5 years ago?Options30 years35 years40 years45 years
Question
elect the correct answerThe present ages of Amit and his father are in the ratio of 2 : 5 respectively. Four years hence the ratio of their ages will become 5 : 11 respectively. What was the father’s age 5 years ago?Options30 years35 years40 years45 years
Solution
Let's solve this step by step:
Step 1: Let's assume the present age of Amit is 2x and the present age of his father is 5x.
Step 2: According to the problem, four years from now, the ratio of Amit's age to his father's age will be 5:11. So, we can write this as (2x + 4) / (5x + 4) = 5 / 11.
Step 3: Cross-multiplying to solve for x, we get 11 * (2x + 4) = 5 * (5x + 4).
Step 4: Simplifying, we get 22x + 44 = 25x + 20.
Step 5: Rearranging, we get 25x - 22x = 44 - 20, which simplifies to 3x = 24.
Step 6: Solving for x, we get x = 24 / 3 = 8.
Step 7: Substituting x = 8 into the equation for the father's present age, we get 5x = 5 * 8 = 40 years.
Step 8: The question asks for the father's age 5 years ago, so we subtract 5 from 40 to get 35 years.
So, the correct answer is 35 years.
Similar Questions
Quantitative Aptitude: Ages [Section 1 of 1] Q4 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 31:53Select the correct answerThe present ages of Amit and his father are in the ratio of 2 : 5 respectively. Four years hence the ratio of their ages will become 5 : 11 respectively. What was the father’s age 5 years ago?
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