Multiple choice

One year ago the ratio of Anil's and Sunil's age was $6 : 7$. Four years hence their ratio would become $7 : 8$. How old is Sunil ?

  1. $36$
  2. $26$
  3. $46$
  4. $40$
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A Correct answer
Explanation

Let ages one year ago be 6x and 7x. Current ages are 6x+1 and 7x+1. Four years hence, ages will be 6x+5 and 7x+5. Ratio: (6x+5)/(7x+5) = 7/8. Solving: 48x + 40 = 49x + 35, so x = 5. Sunil's current age is 7(5) + 1 = 36.

AI explanation

Let Anil's and Sunil's ages one year ago be 6x and 7x. Four years hence from the present, which is five years from one year ago, their ages will be 6x + 5 and 7x + 5, giving the ratio (6x + 5) / (7x + 5) = 7 / 8. Cross-multiplying yields 8(6x + 5) = 7(7x + 5), which simplifies to 48x + 40 = 49x + 35, so x = 5. Sunil's present age is his age one year ago plus one, making it 7(5) + 1 = 36.

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