Multiple choice

Three friends-Farina, Maya, and Sam-have their ages related by unique ratios: Farina to Sam is 91, and Maya to Sam is 8 : 1. Fast forward 12 years, and Farina's age compared to Maya's becomes 12. 11. Given this, what will be the ratio of Sam's age 5 years from now to Farina's current age?

  1. 1 : 2

  2. 1 : 3

  3. 1 : 4

  4. 2 : 3
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C Correct answer
Explanation

The prompt contains garbled ratios (91 instead of 9:1, 12. 11 instead of 12:11). Assuming standard interpretations (F:S=9:1, M:S=8:1), current ages are F=9x, M=8x, S=x. In 12 years, (9x+12)/(8x+12) = 12/11. Solving gives 99x + 132 = 96x + 144, so 3x = 12, x = 4. Current ages: F=36, M=32, S=4. Ratio of (S+5):F = 9:36 = 1:4.

AI explanation

Let Sam's present age be x years, making Farina's age 9x and Maya's age 8x. In 12 years, the ratio of Farina's age to Maya's age is 12:11, giving the equation (9x + 12) / (8x + 12) = 12/11. Solving this yields 99x + 132 = 96x + 144, so 3x = 12 and x = 4. Sam's age 5 years from now will be 4 + 5 = 9, and Farina's current age is 36, making their ratio 9:36, which simplifies to 1:4.

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