Question

find the three consecutive numbers such that if they are divided by 10,17,26 respectively the sum of their qutients will be 10

Answer 1

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