Question 61994: The sum of two numbers is 28. The larger number, y, is 4 more than the smaller number, x. Write two equations for this system and solve to find x and y.
Give your answer as an ordered pair without parentheses or spaces, as in x,y.
Answer by jai_kos(139)   (Show Source):
You can put this solution on YOUR website! Let the numbers be "x" and "y", we get
It is given that the sum of the numbers is 28.
Therefore x + y = 28 --->(1)
It is also given,
The larger number, y, is 4 more than the smaller number, x
y = x + 4 --->(2)
Equation(1) and equation(2), represents the equations for this system.
Substitute the equation(2) in equation(1), we get
x + x + 4 = 28
2x + 4 = 28
2x = 28 - 4
2x = 24
x = 12
Now substitute the value of x in equation(1), we get
12 + y = 28
y = 28 - 12
y = 16
Therefore the value of x = 12 and y = 16
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