Multiple choice

The ratio of present ages of Suresh and Mahesh is 7 : 5. If after 6 years their ages will be in the ratio of 4 : 3, the present age of Mahesh is:

  1. 32

  2. 36

  3. 30

  4. 35

  5. none of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let ages be 7x and 5x. (7x+6)/(5x+6) = 4/3. 21x + 18 = 20x + 24, so x = 6. Mahesh's age = 5x = 30.

AI explanation

Let the present ages of Suresh and Mahesh be 7x and 5x respectively. After 6 years, their ages will be 7x + 6 and 5x + 6, which are in the ratio 4:3. Cross-multiplying this proportion gives 3(7x + 6) = 4(5x + 6). Expanding and simplifying this equation yields 21x + 18 = 20x + 24, so x = 6. Mahesh's present age is 5x, which calculates to 30.

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