SOLUTION: If sum of two numbers is 470. If one number is 90 grater than the other, then what is the greater number?

Question 665969: If sum of two numbers is 470. If one number is 90 grater than the other, then what is the greater number?

Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Establish variables
x = greater number
y = lesser number
...
Given
x+y = 470
x = y + 90; rearrange as y = x - 90
...
Substitute y into the first equation to solve for x, the greater number
x - 90 + x = 470
Combine like terms
2x - 90 = 470
Isolate x
2x = 470 + 90
Divide both sides by 2
x =
is the greater number
...
Confrim
y+90+y=470
2y = 470-90
2y=380
y = 190
...
190+280 = 470 Great!!
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Delighted to help.
-Reading Boosters
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