SOLUTION: One number is five times another number. If the sum of two numbers in 270, find the numbers

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Question 9574: One number is five times another number. If the sum of two numbers in 270, find the numbers

Answer by prince_abubu(198) About Me  (Show Source):
You can put this solution on YOUR website!
Let F be the the first number. Let S be the second number that you would times by 5 to equal the first number. So far, you've got the equation +F+=+5S+.

They said that the sum of the two numbers, F and S is 270. That's +F+%2B+S+=+270+.

We're going to do a substitution here. Since F = 5S, let's replace the F with a 5S in the equation +F+%2B+S+=+270+.

+5S+%2B+S+=+270+ <---- substitution done. This way, you'll only be solving for one variable with this single equation.

+6S+=+270+ <----- Combined like terms.

+S+=+45+ <----- The smaller number turned out to be 35. If the first number is five times the second number, then the first number would be 35 * 5, or 175.