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 

 

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