SOLUTION: The least of 3 consecutive integers is divided by 10, the next is divided by 17, and the greatest is divided by 26. What are the numbers if the sum of the quotient is 10?
Algebra.Com
Question 170406: The least of 3 consecutive integers is divided by 10, the next is divided by 17, and the greatest is divided by 26. What are the numbers if the sum of the quotient is 10?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The least of 3 consecutive integers is divided by 10, the next is divided by 17, and the greatest is divided by 26. What are the numbers if the sum of the quotient is 10?
--------------------
1st: x-1
2nd: x
3rd: x+1
---------------
EQUATION:
(x-1)/10 + x/17 + (x+1)/26 = 10
17*26(x-1) + 10*26x + 10*17(x+1) + 10*10*17*26
872x -272 = 44200
872x = 44472
x = 51 (2nd)
x-1= 50 (1st)
x+1 = 52 (3rd)
====================
Cheers,
Stan H.
RELATED QUESTIONS
The least of three consecutive integers is divided by 10, the next is divided by 17,the... (answered by ewatrrr)
there are 3 consecutive even integers. When the least is divided by 4, the next by 5, and (answered by macston)
what is 17+b divided by... (answered by Alan3354)
there are 3 consecutive even intergers, the first number is divided by 4. the second is... (answered by ikleyn)
what is -3x divided by... (answered by tommyt3rd)
if the sum of two consecutive odd integers is divided by 4, the quotient is 10. find the... (answered by mananth)
The least number when divided by 0.06, 0.008 and 0.16 gives integers as quotient... (answered by jsmallt9)
if the sum of two consecutive integers is divided by 3, the quotient is 9. find the... (answered by Alan3354,mananth)
The sum of two consecutive numbers divided by 3 is 71. What are the two... (answered by Fombitz)