The 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?Options35 years45 years40 years30 years
Question
The 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?Options35 years45 years40 years30 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 hence, the ratio of their ages will be 5 : 11. So, we can write it as (2x + 4) / (5x + 4) = 5 / 11.
Step 3: Cross-multiplying the above equation, we get 22x + 88 = 25x + 20.
Step 4: Simplifying the equation, we get 3x = 68.
Step 5: Solving for x, we get x = 68 / 3 = 22.67 (approximately).
Step 6: Substituting x = 22.67 in 5x (father's present age), we get 5 * 22.67 = 113.33 (approximately).
Step 7: The father's age 5 years ago would be 113.33 - 5 = 108.33. But since age is always a whole number, we round it off to the nearest whole number, which is 108.
However, none of the options match this result. There might be a mistake in the problem or the options provided.
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?
After five years the age of a father will be thrice the age of his son whereas five years ago, he was seven times old as his son was.What is father's present age?30 years40 years50 yearsNone of these
2 years ago, the father's age was 6 times of his son's age. 6 years hence the ratio between the ages of father and thif son becomes 10:3. What is the father's present age?A40 YearsB42 YearsC44 YearsD48 Years
Select the correct answerSeven years ago, the ages (in years) of A and B were in the ratio 4 : 5 and 7 years hence, their ages will be in the ratio 5 : 6. What will be ratio of their ages 5 years from now?Options31 : 3333 : 3434 : 4133 : 40
Ratio of the present age of a father to that of the son is 7 : 1. After 5 years the ratio will become 4: 1. What is the difference (in years) in their present ages?Options :10203040
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.