SOLUTION: "One number is five less than another number. If their sum is 95, find the numbers."

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Question 614749: "One number is five less than another number. If their sum is 95, find the numbers."
Answer by ashipm01(26) About Me  (Show Source):
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This problem consists of two different numbers that are being summed together to equal 95. The first number is expressed in terms of the second number because the problem states "One number is five less than another number". Since the first number is expressed in terms of the second number, we can represent the second number as x, or any other variable. So now the problem can be written as:

+%28x+-+5%29+%2B+x+=+95+

Since the second number is represented as x and the first number is five less than that, the first number can be written as (x-5) as it is above. Now all this can be simplified as:

=2x+=+100

=x+=+50

So the second number is 50. Since the second number is 50 and the first number is five less than the second number, the first number must be 45. So the two numbers are:

{45, 50}