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werThe 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?Options40 years30 years45 years35 years

Question

werThe 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?Options40 years30 years45 years35 years

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Solution

Let's solve this step by step:

Step 1: Let's assume the present ages of Amit and his father are 2x and 5x years respectively.

Step 2: According to the problem, four years from now, the ratio of their ages will be 5 : 11. So, we can write it as:

(2x + 4) / (5x + 4) = 5 / 11

Step 3: Cross multiply to solve for x:

11 * (2x + 4) = 5 * (5x + 4)

22x + 44 = 25x + 20

Step 4: Rearrange the equation to solve for x:

25x - 22x = 44 - 20

3x = 24

So, x = 24 / 3 = 8

Step 5: Now, substitute x = 8 in 5x to get the father's present age:

Father's present age = 5x = 5*8 = 40 years

Step 6: To find the father's age 5 years ago, subtract 5 from the father's present age:

Father's age 5 years ago = 40 - 5 = 35 years

So, the father's age 5 years ago was 35 years. Hence, the correct answer is 35 years.

This problem has been solved

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