Multiple choice

Vidhushi is 8 times as old as her grandson. Four years ago, Vidhushi was 12 times as old as her grandson. Find the difference between their present ages.

  1. 88 years

  2. 77 years

  3. 11 years

  4. 99 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let grandson's age be x, Vidhushi's be 8x. Four years ago: 8x - 4 = 12(x - 4). 8x - 4 = 12x - 48. 4x = 44, so x = 11. Grandson is 11, Vidhushi is 88. Difference = 88 - 11 = 77.

AI explanation

Let the present ages of the grandson and Vidhushi be x and 8x. Four years ago, their ages were x - 4 and 8x - 4, giving the equation 8x - 4 = 12(x - 4). Solving this equation gives 8x - 4 = 12x - 48, which simplifies to 4x = 44 and x = 11. The difference between their present ages is 8x - x = 7x, which equals 7 * 11 = 77 years.

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