SOLUTION: the sum of three numbers is 66. the third number is 9 more than the first. the second number is 3 times the third. what are the numbers?
Algebra.Com
Question 749505: the sum of three numbers is 66. the third number is 9 more than the first. the second number is 3 times the third. what are the numbers?
Answer by timvanswearingen(106) (Show Source): You can put this solution on YOUR website!
Let x represent the third number. Then the first number is x-9 and the second number is 3x.
Now, the sum of the numbers is 66, so set up an equation:
Combine like terms:
Add 9 to both sides:
Divide both sides by 5:
Thus, the third number is 15. The second was 3x, so 3*15=45. The second number is 45. The first number was x-9, so 15-9=6. The first number is 6. The numbers are 6, 45, and 15.
RELATED QUESTIONS
The sum of three numbers is 116. The third number is 3 times the second. The second... (answered by stanbon)
The sum of three numbers is 114 . The third number is 3 times the first. The second... (answered by ewatrrr)
The sum of three numbers is
93
. The second number is
2
times the third. The first (answered by Alan3354,josgarithmetic)
The sum of three numbers is 104. The second number is 3 times the third. The third number (answered by josgarithmetic)
The sum of three numbers is 104
. The second number is 3
times the third. The third... (answered by Fombitz)
he sum of three numbers is
114
. The second number is
3
times the third. The... (answered by sunny1992)
The sum of three numbers is
129
. The third number is
4
times the first. The first (answered by MathLover1)
The sum of three numbers is 131 . The second number is 4 times the third. The third... (answered by rfer)
The sum of three numbers is 119. The second number is 4 times the third. The third number (answered by Edwin McCravy)