Multiple choice general knowledge math & puzzles

Bodo weighs 100 pounds more than his sister Barbara. Their combined weight is 120 pounds. How many pounds does Bodo weigh?

  1. 100

  2. 10

  3. 20

  4. 110

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

Let Bodo's weight be x pounds and Barbara's be y pounds. We know x = y + 100 and x + y = 120. Substituting: (y + 100) + y = 120, so 2y = 20, giving y = 10. Therefore Bodo weighs x = 10 + 100 = 110 pounds. The combined weight is 110 + 10 = 120 pounds, which checks out.

AI explanation

Let Barbara = x pounds, so Bodo = x+100. Combined: x + (x+100) = 120, so 2x = 20, x = 10. Bodo = 10+100 = 110 pounds. The other options don't satisfy both the 100-pound difference and the 120-pound total simultaneously — e.g., 100 alone would leave Barbara at only 20, not matching a 100-pound gap; 110+10=120 is the only pair that works.