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One number is five more than the other. The sum of the number is 17. Find the numbers

PLEASE HELP and show work I’m confused

User Luckyrand
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1 Answer

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To solve these type of questions, you need to create 2 equations that represent the two statements given. So for "One number is 5 times more than the other." You'll make

y = x + 5
And for "The sum of the numbers is 17" you would make:

x + y = 17
What you would do after this is put the value of y, x + 5, into the second equation. This gets the x alone, allowing you to solve for x.

x + x + 5= 17 \\ 2x + 5 = 17 \\ 2x = 12 \\ x = 6
Then you plug back the value into one of the equations like this:

y = 6 + 5 \\ y = 11
So your numbers would be 6 and 11.
User Thomas Brierley
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