SOLUTION: The second of three numbers is 8 more than twice the first. The third number is twelve less than the first. The sum of the number is 108. Find the numbers work so far--> 2n+8+n-

Algebra.Com
Question 414691: The second of three numbers is 8 more than twice the first. The third number is twelve less than the first. The sum of the number is 108. Find the numbers
work so far--> 2n+8+n-12=108
3n+8-12=108 added the n's
3n+8=120 added 12
3n=112 subtracted 8
when I divided 112/3 I get an irrational number and dont know what to do after

Answer by algebrahouse.com(1659)   (Show Source): You can put this solution on YOUR website!
The second of three numbers is 8 more than twice the first. The third number is twelve less than the first. The sum of the number is 108. Find the numbers
work so far--> 2n+8+n-12=108<-----------------*you forgot to add "n" the 1st number*
3n+8-12=108 added the n's
3n+8=120 added 12
3n=112 subtracted 8
when I divided 112/3 I get an irrational number and dont know what to do after

------------------------------------------------------

n = first number
2n + 8 = second number {8 more than twice the first}
n - 12 = third number {12 less than the first}

n + 2n + 8 + n - 12 = 108 {sum of numbers is 108}
4n - 4 = 108 {combined like terms}
4n = 112 {added 4 to both sides}
n = 28 {divided both sides by 4}
2n + 8 = 64 {substituted 28, in for n, into 2n + 8}
n - 12 = 16 {substituted 28, in for n, into n - 12}

28, 64, and 16 are the three numbers
www.algebrahouse.com

RELATED QUESTIONS

The sum of three numbers is -48. The first number is twelve more than the second... (answered by marcsam823,checkley71)
The sum of three numbers is 301. The second number is 3 less than twelve times the... (answered by Paul)
The sum of three whole numbers is 7. The second number is 1 more than the twice of the... (answered by ewatrrr)
the sum of three integers is one hundred twenty-three. The second number is two more... (answered by ankor@dixie-net.com)
The sum of three numbers is one hundred. the second number is one more than twice the... (answered by ankor@dixie-net.com)
the sum of 3 numbers is 123. the second number iis 2 more than twice the first number.... (answered by stanbon)
The sum of three number is 27 the second number is 1 less than the first and the third... (answered by ikleyn)
The sum of 3 integers is 123. The second number is two more than twice the first number.... (answered by mananth,josmiceli)
The sum of three numbers is 26. The second number is twice the first and the third number (answered by mananth)
the sum of three numbers is 100. find the numbers if the second number is 10 more than... (answered by ewatrrr,htmentor)