SOLUTION: The smaller number is 2 more than one half of the large number.If the sun of these numbers is 26,what are these numbers

Question 1005444: The smaller number is 2 more than one half of the large number.If the sun of these numbers is 26,what are these numbers

Answer by Bob10576(4) (Show Source): You can put this solution on YOUR website!
The problem asks you to find the values of two unknown integers.
You can create an equation in order to solve this.
You know that one number is 2 more than half of the larger number, so you can start with this.
(x/2)+2 = y
y is the smaller number
x is the larger number
with this you can solve for both.
you want to find the answer to this equation.
(smaller number) + (larger number) = 26
all you have to do is substitute in y for (smaller number) and x for (larger number)
you then get this.
y + x = 26
you already have the y in terms of x solved up above, so just replace the y with (x/2)+2.
you can now solve (x/2)+2 + x = 26 to find the answer for the larger number.
which is x = 16.
(remember that x/2 is just 1/2x, so x + 1/2x = 3/2x)
now just plug in 16 for the equation we made before for finding y (the smaller number)
(x/2)+2 = y
(16/2)+2 = y
(8)+2 = y
10 = y
10 = smaller number
now we check our answer
10 + 16 = 26
26 = 26 :D
larger number = 16
smaller number = 10
We've solved the question!

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