SOLUTION: one integer is 2 more than 5 times another. If the difference of the two integers is 26, what is the smaller integer?

Question 512332: one integer is 2 more than 5 times another. If the difference of the two integers is 26, what is the smaller integer?
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Let
Smaller integer = y
Larger integer = x
one integer is 2 more than 5 times another
x=2+5y...........(1)
difference of the two integers is 26
x-y=26...........(2)
Put the value of x from (1) to (2)
2+5y-y=26
4y=26-2
4y=24
4y/4=24/4
y=6
Put the value of y in (2)
x-6=26
x=26+6
x=32
Smaller integer = y = 6
Larger integer = x = 32

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