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Let the first number equal x and the second number equal y.

You have:

A) x + y = 89.

B) 4x + y = 155.

First you rearrange equation A to obtain equation C) y = 89 - x

Then substitute C) into B) to obtain equation D) 4x + 89 - x = 155

Solve equation D) for x to obtain x = 22.

Place the value of x in equation C) to obtain y = 67.

Thus your answer is {x = 22, y = 67}.

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Q: The sum of two numbers is 89. Four times the first number plus the second number gives 155. What are the two numbers?
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