SOLUTION: Find a number such that one-half of the number is 6 less than two-thirds of the number.

SOLUTION: Find a number such that one-half of the number is 6 less than two-thirds of the number.

Algebra.Com

Question 943256: Find a number such that one-half of the number is 6 less than two-thirds of the number.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
N is the number; (1/2)N=(2/3)N-6
Multiply each side by 2
N=(4/3)N-12 Add 12 to each side
+12+N=(4/3)N-12+12 subtract N from each side
12+N-N=(4/3)N-N
12=(1/3)N Multiply each side by 3
36=N ANSWER the number is 36
CHECK
1/2(36)=2/3(36)-6
18=24-6
18=18

RELATED QUESTIONS
1. find a number such that one-half of the number is three less than two-thirds of that... (answered by Fombitz)

Find a number such that one-half of the number is 3 less than two-thirds of the... (answered by phd)

Find a number such that one-half of the number is 10 less than two-thirds of the... (answered by nyc_function)

Find a number such that one-half of the number is 9 less than two-thirds of the... (answered by Maths68)

Find a number such that one-half of the number is 9 less than two-thirds of the... (answered by checkley79)

Find a number such that one-half of the number is 12 less than two-thirds of the... (answered by rfer)

Find a number such that one-half of the number is 3 less that two-thirds of the... (answered by ewatrrr)

Find a number such that 6 more than one-half the number is two-thirds the... (answered by checkley77)

find a number such that 6 more than one-half the number is two-thirds the... (answered by ewatrrr)