Multiple choice

The difference between the age of Guri and Shuri is 4 years. Five years ago, the sum of their ages was 36 years. What will be the ratio of the age of Guri to that of Shuri 7 years from now, if Shuri is younger than Guri?

  1. 6 : 7

  2. 7 : 6

  3. 8 : 7

  4. 7 : 8

  5. NA
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

G - S = 4. (G-5) + (S-5) = 36 -> G + S = 46. Solving gives G = 25, S = 21. In 7 years, G = 32, S = 28. Ratio 32:28 = 8:7.

AI explanation

Let the present ages of Guri and Shuri be x years and (x minus 4) years. Five years ago, the sum of their ages was 36, so the equation is x minus 5 plus x minus 4 minus 5 equals 36, which simplifies to 2x minus 14 equals 36. Solving for x gives 2x equals 50, so Guri is currently 25 years old and Shuri is 21 years old. Seven years from now, their ages will be 32 and 28, making their ratio 8 to 7.

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