SOLUTION: The sum of two numbers is 43. Their difference is 23. Find the numbers.

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Question 1031269: The sum of two numbers is 43. Their difference is 23. Find the numbers.
Answer by Bakr.R(8) About Me  (Show Source):
You can put this solution on YOUR website!
Let each number be x and y.
number 1 ----> x
number 2 ----> y
From the question we can deduce that:
x+y=43
x-y=23

We have a simultaneous equation, we now minus or add the (based on the quantity of y and x) equations and solve for the unknown.

x+y=43
x-y=23
-------
2x=66
-------
x=33

and now, we substitute the value of x into the original equation to find y

x+y=43
-------
33+y=43
-------
y=10

The numbers are 33 and 10