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
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.
Similar Questions
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