SOLUTION: The problem: one-half of a number is 25 more than one-third of the same number. I got 150 but i need to show a check on it and don't know how

Algebra.Com
Question 430943: The problem: one-half of a number is 25 more than one-third of the same number. I got 150 but i need to show a check on it and don't know how
Found 3 solutions by Gogonati, ewatrrr, josmiceli:
Answer by Gogonati(855)   (Show Source): You can put this solution on YOUR website!
Solution: Let x the unknown number.Question states:
Solve this equation:Multiply both sides by 6, =>3x-2x=150 =>x=150.
Check:1/2*150=1/3*150+25 => 75=50+25 => 75=75
Answer:The unknown number is 150.
Done.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi

Let x represent the number

Question states***

  (1/2)n = (1/3)n + 25  |Multipying thru by 6 so as all denominators = 1

     3n = 2n + 150

      n = 150



CHECKING our Answer***

  75 = 50 + 25 

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
 

Multiply both sides by 





I'm not sure what kind of check is needed, but









OK 

RELATED QUESTIONS


one third of a number is 5 less than half of the same number what is that number show all  (answered by algebrapro18)

One-half of a number is 25 more than one-third of the same number. What is the... (answered by solver91311)

one half of a number is 25 more than one-third of the same number.  What is the number... (answered by Fombitz)

One third of a number is 5 less than half of the same number. what is the number? I also... (answered by ankor@dixie-net.com)

one third of a number is 5 less than half of the same number. What is the number?
 Once... (answered by Earlsdon)

can you please help solve and check this problem: (((One-third of a number is 5 less than  (answered by mangopeeler07)

Using the 5-sep method, how do I solve this:
One-half of a number is 25 more than... (answered by CharlesG2)

The answer I got for this was 1, but I am not so sure about it.
The question... (answered by solver91311)

How do I solve this problem?

One-third of a number is 5 less than half of the same... (answered by pwac)