Question

find the three consecutive number such that divided by 10,17 and 26 respectively,the sum of their quotient will be 10

Answer 1

Answer:

The 3 consecutive numbers are 50, 51, 52

Step-by-step explanation:

Let us assume the 3 consecutive numbers are X, (X+1), (X+2)

Given

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

LCM of 10 , 17 and 26 = 4420

442X/4420 + 260(X+1)/4420 + 170(X+2)/4420 = 10

(442X + 260X + 260 + 170X + 340)/4420 = 10

872X + 600 = 4420 X 10

872X + 600 = 44200

872X = 44200 - 600

872X = 43600

Therefore X = 43600/872

ie X = 50

X + 1 = 51

X + 2 = 52

The 3 consecutive numbers are 50, 51, 52