SOLUTION: Select the set of equations that represents the following situation: The sum of two numbers is 52, and their difference is twenty-five more than the smaller number what are the tw

Algebra ->  Equations -> SOLUTION: Select the set of equations that represents the following situation: The sum of two numbers is 52, and their difference is twenty-five more than the smaller number what are the tw      Log On


   

Question 411283: Select the set of equations that represents the following situation:
The sum of two numbers is 52, and their difference is twenty-five more than the smaller number what are the two numbers?
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 52, and their difference is twenty-five more than the smaller number what are the two numbers?
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Equations:
x + y = 52
x - y = x + 25
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From the 2nd equation,
-y = 25
y = -25
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Solve for "x"
x+y = 52
x -25 = 52
x = 77
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Cheers,
Stan H.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
let two numbers be x and y, and y%3Cx
given:
the sum of two numbers, x and y is 52...->

x%2By=52........1

and their difference is twenty-five more than the smaller number
x-y%2B25=x..........2........solve system 1,2
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x%2By=52........1
x-y%2B25=x..........2
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x-y%2B25=x..........2.....solve for y
-y%2B25=0
25=y....substitute in 1
x%2B25=52
x=52-25
x=27