SOLUTION: The sum of two numbers is 27.Half the smaller number plus twice the larger number is 36.What are the numbers

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Question 311981: The sum of two numbers is 27.Half the smaller number plus twice the larger number is 36.What are the numbers
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the number be x,
the other number will be 27-x.
.
half the smaller number = x/2
twice the larger number = 2(27-x)
.
x/2 + 2(27-x)= 36
x/2 +54 -2x = 36
LCM =2
x+108 -4x= 2*36
-3x=-108+72
-3x=-36
x= 12
27-12 =15
12, 15 are the numbers