SOLUTION: Two numbers have a sum of 22. Their difference is 4. what are the two numbers? What is the correct way to figure this out? (Childs homework and needs help) Thank you John

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Question 108337: Two numbers have a sum of 22. Their difference is 4. what are the two numbers?
What is the correct way to figure this out? (Childs homework and needs help)
Thank you
John

Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Two numbers have a sum of 22. Their difference is 4. what are the two numbers?
----------
Let the two numbers be x and y.
EQUATIONS:
x+y = 22
x-y = 4
------------
Add the two equations to get:
2x = 26
Divide both sides by 2 to get
x = 13
-----------
Substitute that value into x+y=22 to solve for y:
13+y = 22
y = 9
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The numbers are x = 13 and y = 9
================
Cheers,
Stan H.

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

given:
Two numbers (let them be and ) have a of ,
and we can write it as:

Their is , and
we will write it as:

now we have a system of equations with two unknown variables and
we need to solve this system, and we can do it this way:
....first this equation solve for , then substitute it in second equation

=> will be:

.move to the right, and to the left

...divide both sides by
........second number
since , we will go back to the first equation and substitute it in order to calculate



.......first number
check:
the sum



the difference




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