Multiple choice

Hitu is 32 years old and Hemu is 47 years old. How many years ago was the ratio of their ages 4:7?

  1. 5 years

  2. 6 years

  3. 7 years

  4. 12 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let x be the number of years ago. Then (32-x)/(47-x) = 4/7. Cross-multiplying gives 7(32-x) = 4(47-x), which simplifies to 224 - 7x = 188 - 4x, so 3x = 36, x = 12.

AI explanation

Let x be the number of years ago when the ratio of their ages was 4 to 7. The ratio equation is (32 minus x) divided by (47 minus x) equals 4 divided by 7. Cross-multiplying yields 224 minus 7x equals 188 minus 4x. Solving for x gives 36 equals 3x, so x is 12 years.

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