SOLUTION: how do you set up an equation for this problem the sum of two poitve numbers is 48 the difference between the two numbers is 22. find the two numbers.

Question 579381: how do you set up an equation for this problem
the sum of two poitve numbers is 48 the difference between the two numbers is 22. find the two numbers.
Answer by mrjunecarlo1095@ymail.com(10) (Show Source): You can put this solution on YOUR website!
Let X be the larger number
Y be the smaller number
so The sum of two numbers is 48
Can be represented as
X+Y=48
and
the difference of two numbers is 22
as:
X-Y=22
the, equate the two equation and add.
X+Y=48
X-Y=22 Y is canceled because they have diff. sign
------
2X=70
X=70/2
X=35
Substitute X to any of two equation.
Let's use
X+Y=48
35+Y=48
Y=48-35
Y=13

Thus, the two numbers are 35 and 13

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