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If Jake loses 8 pounds, he will weigh twice as much as his sister. Together, they now weigh 278 pounds. What is Jake's present weight, in pounds?

A. 131
B. 135
C. 139
D. 147

Answer :

Final answer:

To find Jake's present weight, we set up a system of equations based on the given information. 184 pounds.

Explanation:

Let's say Jake's weight is represented by J and his sister's weight is represented by S. According to the problem, if Jake loses 8 pounds, he will weigh twice as much as his sister, which can be expressed as J - 8 = 2(S - 8).

Additionally, the sum of their current weights is 278 pounds, so we have the equation J + S = 278.

We can solve this system of equations by substitution or elimination. Let's use substitution.

From the first equation, we can rewrite it as J = 2S - 8.

Substituting this value of J into the second equation, we get (2S - 8) + S = 278.

Simplifying the equation, we have 3S - 8 = 278.

Solving for S, we find that S = 94 pounds.

Substituting this value back into the second equation, we can find J: J + 94 = 278, so J = 184 pounds.

Therefore, Jake's present weight is 184 pounds.

Learn more about Solving systems of equations here:

https://brainly.com/question/29050831

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