SOLUTION: one number is 48 less than another number. If the sum of the two numbers is -164, then what is the smaller of the two numbers?

Algebra ->  Human-and-algebraic-language -> SOLUTION: one number is 48 less than another number. If the sum of the two numbers is -164, then what is the smaller of the two numbers?      Log On


   

Question 217329: one number is 48 less than another number. If the sum of the two numbers is -164, then what is the smaller of the two numbers?
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Let x & y = numbers
.
x+y=-164
.
x= y-48,,,,,,subst
.
(y-48) +y = -164
.
2y = -116
.
y= -58
.
x=y-48=(-58)-48 = -106
.
.
smaller of numbers is x=-106
.
.
check,,,,,,x+y=-164,,,,,,(-106)+(-58) = -164,,,,,,ok
.
x=y-48,,,,,,,,(-106) =(-58)-48 = -106,,,,,ok
.