SOLUTION: this is actually two problems, so i'd be really gratefull if somebody would help me solve this. 1) The sum of two numbers is 17. One number is 9 more than the other one. Find the

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: this is actually two problems, so i'd be really gratefull if somebody would help me solve this. 1) The sum of two numbers is 17. One number is 9 more than the other one. Find the       Log On


   

Question 131395: this is actually two problems, so i'd be really gratefull if somebody would help me solve this.
1) The sum of two numbers is 17. One number is 9 more than the other one. Find the larger number.
2) The sum of two numbers is 26. One number is 12 more than the other. Find the smaller number.

Answer by TakeATuition.com(57) About Me  (Show Source):
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1)
let one number be x
therefore other number is = x + 9 (since one number is 9 more than other number)
sum of both number = 17

x + x + 9 = 17

2x + 9 = 17
2x + 9 - 9 = 17 - 9
2x = 8
2x/2 = 8/2
x = 4

therefore
one number is x = x = 4
other number = x + 9 = 4 + 9 = 13
2)
let one number be x
therefore other number is = x + 12 (since one number is 12 more than other number)
sum of both number = 26

x + x + 12 = 26

2x + 12 = 26
2x + 12 - 12 = 26 - 12
2x = 14
2x/2 = 14/2
x = 7

therefore
one number is x = x = 7
other number = x + 12 = 7 + 17 = 19

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