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25 Jul 2017, 22:41
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
63% (01:24) correct
37%
(02:04)
wrong
based on 130
sessions
History
Date
Time
Result
Not Attempted Yet
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
A. 210
B. 213
C. 220
D. 222
E. 225
25 Jul 2017, 23:03
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Answer is D
I solved this with answer choices given.
Going with D. Todd weigh 222 pounds a week ago. Now he has lost 12 pounds so current weight is 210 pounds
Todd and his younger brother weighs 280 pounds
210 + x =280 ..where x is younger brother's weight. solving we get x=70
Now Todd weighs three times as much as his younger brother
younger brother's weight x 3 = todd's current weight
70 x 3 =210.. it is match
I solved this with answer choices given.
Going with D. Todd weigh 222 pounds a week ago. Now he has lost 12 pounds so current weight is 210 pounds
Todd and his younger brother weighs 280 pounds
210 + x =280 ..where x is younger brother's weight. solving we get x=70
Now Todd weighs three times as much as his younger brother
younger brother's weight x 3 = todd's current weight
70 x 3 =210.. it is match
25 Jul 2017, 23:04
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Bookmarks
Let Todd's weight be x and his brother's weight be y
From the question stem,
x - 12 = 3y => x - 3y = 12 -> 1
Also, since the sum of their weights is 280,
x - 12 + y = 280 => x + y = 292 -> 2
(1) - (2) gives -4y = -280 => y = 70
Therefore, x = 280 + 12 - 70 = 222(Option D)
From the question stem,
x - 12 = 3y => x - 3y = 12 -> 1
Also, since the sum of their weights is 280,
x - 12 + y = 280 => x + y = 292 -> 2
(1) - (2) gives -4y = -280 => y = 70
Therefore, x = 280 + 12 - 70 = 222(Option D)
