SOLUTION: One integer is 2 more than another integer. The sum of the two integers is 48. Find the smaller integer.

Question 626277: One integer is 2 more than another integer. The sum of the two integers is 48. Find the smaller integer.
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Let x and y be the two integer and x is larger and y is smaller.
One integer is 2 more than another integer
x=y+2.........(1)
The sum of the two integers is 48
x+y=48........(2)
Substitute the value of x from (1) to (2)
(y+2)+y=48
y+2+y=48
2y+2=48
2y=48-2
2y=46
Divide by 2 both sides
2y/2=46/2
y=23
Put the value of y in (1)
x=y+2.........(1)
x=23+2
x=25
so two integers are 23 and 25

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