SOLUTION: The sun of two numbers is 64. Twice the lesser number is five more that the greater number. Find the numbers.

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Question 16390: The sun of two numbers is 64. Twice the lesser number is five more that the greater number. Find the numbers.
Answer by elima(1433) About Me  (Show Source):
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The sun of two numbers is 64. Twice the lesser number is five more that the greater number. Find the numbers.
let x = the lesser number
let y = greater number
So our equations would be;
x+y=64
2x=y+5
Now first we will solve x;
x+y=64
y=64-x
Now substitute this answer for y into one of the equations;
2x=(64-x)+5
2x=69-x
2x+x=69
3x=69
x=23
So now we have our x, so we can plug it into an equation to get y;
2(23)=y+5
46=y+5
46-5=y
41=y
So now we have;
x=23
y=41
Don't forget to check your answer!
Hope you understand
=)