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?
A. 210
B. 213
C. 220
D. 222
E. 225
OA D
Source: Veritas Prep
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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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BTGmoderatorDC
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Jay@ManhattanReview
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Say Todd's weight before losing 12 pounds was x lbs and his brother's weight was y lbs.BTGmoderatorDC wrote: ↑Mon Aug 03, 2020 6:24 pmIn 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?
A. 210
B. 213
C. 220
D. 222
E. 225
OA D
Source: Veritas Prep
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!
-Jay
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