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two numbers that have a sum of 71 and the difference of 37

Algebra
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I have to find two numbers that equal to 71 and subtract to 37

Apr 27th, 2015

let the numbers be x and y. Therefore,

x + y = 71........................................................................equation 1

x - y = 37.........................................................................equation 2

if we subtract  equation 2 from equation one, the x cancels out out and we are lft with

+y - -y = 2y=71 - 37

2y = 34

y = 34/2 =17

so y = 17 and we know from equation 1 that x+y=71, this means that

x + 17 =71

x = 71-17 =54

We can conclude that our x = 54 and y = 17

Apr 27th, 2015

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