SOLUTION: The sum of two numbers is 52, and their difference is two less than the smaller number. What are the two numbers?
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Question 370549: The sum of two numbers is 52, and their difference is two less than the smaller number. What are the two numbers?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
"The sum of two numbers is 52,"
x + y = 52
y = (52-x)
:
"their difference is two less than the smaller number."
x - y = y - 2
x = y + y - 2
x = 2y - 2
replace y with (52-x)
x = 2(52-x) - 2
x = 104 - 2x - 2
x + 2x = 104 - 2
3x = 102
x =
x = 34 is the larger number
then
y = 52 - 34
y = 18 is the smaller number
:
:
check solution in the statement,
"their difference is two less than the smaller number.",
34 - 18 = 18 - 2
16 = 16
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