SOLUTION: The sum of two numbers is 17. Their difference is 7. Find the numbers.
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Question 1030396: The sum of two numbers is 17. Their difference is 7. Find the numbers.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
x = first number
y = second number
The sum of two numbers is 17, so
x+y = 17
Their difference is 7, so
x-y = 7
We have this sytem of equations
x+y = 17
x-y = 7
Add up the equations to get
x+y = 17
x-y = 7
--------
2x+0y = 24
So 2x = 24 which means x = 12 after you divide both sides by 2 to isolate x.
Use x = 12 to find the other number.
x+y = 17
12+y = 17
12+y-12 = 17-12
y = 5
So the second number is y = 5
-------------------------------------------
Final Answer: the two numbers are 12 and 5
Sum: 12+5 = 17
Difference: 12-5 = 7
Answer checks out
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