Multiple choice

The ages of $A, B$ and $C$ are in the ratio $3 :7 :9$. If the difference between the ages of $B$ and $C$ is $8$ years, then the sum of the ages of all the three together is

  1. $40$ years
  2. $48$ years
  3. $76$ years
  4. $64$ years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Ages are 3x, 7x, 9x. Difference between B and C is 9x - 7x = 2x = 8, so x = 4. Sum = 3x + 7x + 9x = 19x = 19 * 4 = 76.

AI explanation

Let the ages of A, B and C be 3x, 7x and 9x. The difference between the ages of B and C is 9x - 7x = 2x, which equals 8 years, meaning x = 4. The sum of their ages is 3x + 7x + 9x = 19x. Substituting x gives 19 * 4 = 76 years.

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