Multiple choice

The ages of Shauna and Imam are in the ratio of 7 : 3, respectively. After 9 years, the ratio of their ages will be 4 : 3. What is the present age of Imam?

  1. 7 years

  2. 5 years

  3. 3 years

  4. 12 years

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

Let ages be 7x and 3x. (7x+9)/(3x+9) = 4/3. 21x + 27 = 12x + 36. 9x = 9, so x=1. Imam's age is 3x = 3.

AI explanation

Let the present ages of Shauna and Imam be 7x and 3x. After 9 years, the ratio is (7x + 9) / (3x + 9) = 4 / 3; cross-multiplying gives 21x + 27 = 12x + 36, so 9x = 9 and x = 1. The present age of Imam is 3(1) = 3 years.

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