SOLUTION: The sum of two numbers is 135. The difference between them is 9. Find the numbers.
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Question 382537: The sum of two numbers is 135. The difference between them is 9. Find the numbers.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The sum of two numbers is 135. The difference between them is 9. Find the numbers.
.
Let x = first number
and y = second number
.
from: "The sum of two numbers is 135" we get
x + y = 135 (equation 1)
.
from: "The difference between them is 9" we get
x - y = 9 (equation 2)
.
Solve equation 2 for y:
x - y = 9
x - 9 = y
.
Substitute the above into equation 1 and solve for x:
x + y = 135
x + x - 9 = 135
2x - 9 = 135
2x = 144
x = 72
.
Substitute above into equation 2 and solve for y:
x - y = 9
72 - y = 9
-y = -63
y = 63
.
Answer: 63 and 72
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