SOLUTION: if the sum of 2 numbers is 107 and the difference is 17 find the number

Question 889960: if the sum of 2 numbers is 107 and the difference is 17 find the number
Answer by harpazo(655) (Show Source): You can put this solution on YOUR website!
Do you want the number or the numbers?
I assume you need to find the two numbers.
Let x and y be the two numbers.
x + y = 107
x - y = 17
We have a system of linear equations in two variables.
Notice right away that both y letters cancel out. See it?
We are left with 2x = 124.
Solve for x.
2x = 124
x = 124/2
x = 62
We found x to be 62.
Now plug x = 62 into EITHER equation above to find y.
I will use x + y = 107 but you can use the other equation if you'd like.
So, x = 62.
Then 62 + y = 107
Solve for y.
y = 107 - 62
y = 45
The two missing numbers are 45 and 62.

RELATED QUESTIONS
Find the number of terms and the sum of the series... (answered by jim_thompson5910)

The difference of two numbers is 17. find the numbers if their sum is... (answered by stanbon)

The sum of two numbers is −48 and their difference is 17. Find the... (answered by Alan3354)

If the sum of three consecutive even numbers plus the next odd number is 107, what was... (answered by CubeyThePenguin)

the sum of two numbers is 17. if one number is subtracted from the other, their... (answered by Alan3354)

. The difference of two numbers is 11 and one-fifth of their sum is 9. Find the... (answered by Boreal)

The sum of two numbers is 2, and their difference is... (answered by ewatrrr)

The sum of three numbers is 107 . The third number is 7 less than the first . The second... (answered by Cromlix)

The difference of two numbers is 17, and their sum is 85. Find the smaller of the two... (answered by drj)