In the last week, Todd has lost 12 pounds and now weighs exactly three

Question

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

Tango3 · Answer

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

pushpitkc · Answer

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)

JeffTargetTestPrep · Answer

We can let t = Todd’s old weight and b = his brother’s current weight.

We can create the following equations:

t - 12 = 3b

And

t - 12 + b = 280

Replacing t - 12 in the second equation by 3b, we have:

3b + b = 280

4b = 280

b = 70

Substitute b = 70 back into the very first equation, we have:

t - 12 = 3(70)

t = 222
 
Alternate Solution:

Let’s let x = brother’s current weight. This means that Todd’s current weight = 3x. We have:

x + 3x = 280

4x = 280

x = 70

Todd’s brother weighs 70 pounds, and Todd currently weighs (3)(70) = 210 pounds. Last week Todd weighed 12 more pounds, so last week he weighed 222 pounds.

Answer: D

bumpbot · Answer

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In the last week, Todd has lost 12 pounds and now weighs exactly three

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In the last week, Todd has lost 12 pounds and now weighs exactly three

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