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: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pm; Followed by:23 members

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

by BTGmoderatorDC » Mon Aug 03, 2020 6:24 pm

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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 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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Source: Beat The GMAT — Problem Solving | Mon Aug 03, 2020 6:24 pm

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Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 am; Location: Grand Central / New York; Thanked: 470 times; Followed by:34 members

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

by Jay@ManhattanReview » Mon Aug 03, 2020 9:43 pm

BTGmoderatorDC wrote: ↑
Mon Aug 03, 2020 6:24 pm
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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