Multiple choice general knowledge math & puzzles

One-half of Heather's age two years from now plus one-third of her age three years ago is twenty years. How old is she now?

  1. 12

  2. 24

  3. 48

  4. 6

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let x be Heather's current age. The equation is 0.5(x + 2) + (1/3)(x - 3) = 20. Multiplying by 6 to clear denominators: 3(x + 2) + 2(x - 3) = 120. This simplifies to 3x + 6 + 2x - 6 = 120, so 5x = 120, which means x = 24. Other options do not satisfy the equation.