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# If x + y = 24 and 2x-7y=15, which of the following is equal to 13?

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Re: If x + y = 24 and 2x-7y=15, which of the following is equal to 13? [#permalink]
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Solution

Given
In this question, we are given that
• x + y = 24 and 2x − 7y = 15

To find
We need to determine
• Among the given options, which one is equal to 13

Approach and Working out
As 24 + 15 = 39, which is a multiple of 13 (or 13 x 3), we will start with adding the given equations.
• x + y + 2x – 7y = 24 + 15
or, 3x – 6y = 39
or, 1/3 (3x – 6y) = 1/3 x 39
or, x – 2y = 13

Thus, option C is the correct answer.

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Re: If x + y = 24 and 2x-7y=15, which of the following is equal to 13? [#permalink]
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Re: If x + y = 24 and 2x-7y=15, which of the following is equal to 13? [#permalink]
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