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Puzzles & Brain Teasers
Heavy Enough ?
170
Solution:
"Bodo weighs 170 pounds" is the correct answer. His sister weighs 30 pounds. Thus, Bodo weighs 140 pounds more than his sister and their combined weight is 200 as per the problem requirements.
The common mistake is to quickly jump to the conclusion that "Bodo weighs 140 pounds and his sister weighs 60 pounds." But, Bodo would then erroneously weigh 80 pounds more than his sister.
Alternative Solution through Equations:
Let b be Bodo's weight and s be his sister's weight. Then,
b − s = 140; and
b + s = 200.
On solving the above two equations, we get
b = (140 + 200) / 2 = 170.
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