In the last week, Todd has lost 12 pounds and now weighs exactly three times as much as his younger brother. Together

[BTGmoderatorDC]

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

[Jay@ManhattanReview]

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

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!

-Jay
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