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) About Me  (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?
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Let the two numbers be x and y.
EQUATIONS:
x+y = 22
x-y = 4
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Add the two equations to get:
2x = 26
Divide both sides by 2 to get
x = 13
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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) About Me  (Show Source):
You can put this solution on YOUR website!

given:
Two numbers (let them be x and y) have a sum of 22,
and we can write it as:
x+%2B+y+=+22
Their difference is 4, and
we will write it as:
x+-+y+=+4
now we have a system of equations with two unknown variables x and y
we need to solve this system, and we can do it this way:
x+%2B+y+=+22....first this equation solve for x, then substitute it in second equation
x+=+22+-+y
=> x+-+y+=+4 will be:
%2822+-+y%29+-+y+=+4
22+-+2y+=+4.move -2y to the right, and 4 to the left
22+-+4+=+2y
18+=+2y...divide both sides by 2
9+=+y........second number
since y+=+9, we will go back to the first equation and substitute it in order to calculate x

x+=+22+-+y
x+=+22+-+9
x+=+13.......first number
check:
the sum
x+%2B+y+=+22
13+%2B+9+=+22
22+=+22
the difference
x+-+y+=+4
13+-+9+=+4
4+=+4