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The difference between two numbers is 13.Twice the smaller plus three times the larger is 129.Find the value of the larger number.

 Jun 14, 2020
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Let x and y be our two numbers, with y > x. Write two equations.

y - x = 13

3y + 2x = 129

Multiply the first equation by 2. 

2y - 2x = 26

Add this to our second equation to get

5y = 155

y = 155/5 = 31

 Jun 14, 2020
edited by thelizzybeth  Jun 14, 2020

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