SOLUTION: when a number is divided by 4 and has 12 subtracted from it, the result is 1/6 of the number. what is the number ?

Question 175037: when a number is divided by 4 and has 12 subtracted from it, the result is 1/6 of the number. what is the number ?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=the number
then x/4=the number divided by 4
and (x/4)-12=the number divided by 4 and with 12 subtracted from it:
and we are told that this equals 1/6 so our equation to solve is:
(x/4)-12=1/6 multiply each term by 12
3x-144=2 add 144 to each side
3x-144+144=2+144 collect like terms
3x=146 divide each side by 3
x=146/3 = 48 2/3=-----the number
CK
((146/3)/4)-12=1/6
(146/12)-(144/12)=1/6
2/12 = 1/6
1/6 = 1/6
Does this help?---ptaylor

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