SOLUTION: Half a number is three times bigger than another number.Calculate the value of the numbers if the difference between them is 12.

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Question 494827: Half a number is three times bigger than another number.Calculate the value of the numbers if the difference between them is 12.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
two numbers, a & b
:
"Half a number is three times bigger than another number."
.5a = 3b
mult by 2
a = 6b
:
Calculate the value of the numbers if the difference between them is 12.
a - b = 12
replace a with 6b
6b - b = 12
5b = 12
b = 12%2F5
b = 2.4
:
Find a using the 1st equation
.5a = 3(2.4)
.5a = 7.2
2(.5a) = 2(7.2); multiplied both sides by 2
a = 14.4
:
Check it in the 2nd equation
14.4 - 2.4 = 12