SOLUTION: Three numbers add up to 60.The first number is 1/3 of the second number. The third number is twice the second number. What are the three numbers?
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Question 315202: Three numbers add up to 60.The first number is 1/3 of the second number. The third number is twice the second number. What are the three numbers? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Write an equation for each statement
:
Three numbers add up to 60.
x + y + z = 60
:
The first number is 1/3 of the second number.
x = y
:
The third number is twice the second number.
z = 2y
:
What are the three numbers?
x + y + z = 60
replace x and z y + y + 2y = 60
: y + 3y = 60
Multiply eq by 3, results
y + 3(3y) + 3(60)
:
y + 9y = 180
y =
y = 18
then
z = 2(18)
z = 36
and
x = *18
x = 6
:
:
Check by finding the sum of these three numbers
6 + 18 + 36 = 60
