In the last week, Todd has lost 12 pounds and now weighs exactly three times as much as his younger brother. Together they weigh 280 pounds. How much did Todd weigh a week ago, in pounds?
Source: Veritas Prep
In the last week, Todd has lost 12 pounds and now weighs exactly three times as much as his younger brother. Together
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Say Todd's weight before losing 12 pounds was x lbs and his brother's weight was y lbs.
Thus, x – 12 = 3y ---(1)
from "Together they weigh 280 pounds," we have x – 12 + y = 280 => x + y = 292---(2)
Thus, from (1) and (2), we have x = 222 lbs
Correct answer: D
Hope this helps!
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