SOLUTION: One number is five more than a first number. A third number is four times the first number. If the sum of the three numbers is 323, find each of the numbers

Algebra.Com
Question 601545: One number is five more than a first number. A third number is four times the first number. If the sum of the three numbers is 323, find each of the numbers
Answer by Rcmathtutor(12)   (Show Source): You can put this solution on YOUR website!
Let first number = x, second number = y and third number = z
1) y = x + 5
2) z = 4x
3) x + y + z = 323
Substitute y and z in equation #3:
x + x + 5 + 4x = 323
6x + 5 = 323
6x = 318
x = 53
Substitute x in equation #1:
y = 53 + 5
y = 58
Substitute x in equation #2:
z = 4(53)
z = 212
The numbers are: 53, 58 and 212.

RELATED QUESTIONS

A second number is five times a first number. A third number is 100 more than the first... (answered by Earlsdon)
the sum of three numbers is 137. the second number is four more than two times the first... (answered by College Student)
One number is 7 times a first number. A third number is more than the first number. If... (answered by greenestamps)
One number is 4 times a first number. A third number is 100 more than the first... (answered by checkley79)
One number is three times a first number. A third number is 100 more than the first... (answered by advanced_Learner,addingup)
One number is 9 times a first number. A third number is 100 times more than the first... (answered by Fombitz,nyc_function)
One number is five more than a second number. Four times the first number is six more... (answered by Katarekt)
one number is 3 times a first number. a third number is 100 more than the first number.... (answered by Edwin McCravy)
one number is 5 times a first number. a third number is 100 more than the first number.... (answered by Cromlix)