SOLUTION: The least of three consecutive integers is divided by 10, the next is divided by 17,the greatest is divided by 26. What are the numbers if the sum of the quotients is 10?

Hi

Let x,(x+1),(x+2) represent the 3 consecutive numbers

Question states***

x/10 + (x+1)/17 +(x+2)/26 = 10

Solving for x

17*26x + 10*26(x+1)+ 10*17(x+2)= 10*10*17*26

442x + 260x + 170x + 260 + 340 = 44200

            872x = 43600

               x = 50  The 3 consecutive numbers are 50,51,52

CHECKING our Answer***

5 + 3 + 2 = 10