SOLUTION: if 30 is added to a certain number and the sum is divided by 6, the result is 1 more than 1/2 of the original number. find the original number.

Question 1022751: if 30 is added to a certain number and the sum is divided by 6, the result is 1 more than 1/2 of the original number. find the original number.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
if 30 is added to a certain number
n + 30
and the sum is divided by 6,

the result is 1 more than 1/2 of the original number.
= n + 1
Multiply by 6 and cancel the denominators
n + 30 = 3n + 6
n - 3n = 6 - 30
-2n = -24
n = -24/-2
n = +12 is the number
:
:
Check solution in orignal equation
= (12) + 1
= 6 + 1

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