Step-by-step explanation:

Let the consecutive numbers be x,x+1 and x+2

If they are divided by 10,17 and 26 respectively,

Then,

⇒x/10 + x+1/17 + x+2/26 = 10

⇒442x+(260)(x+1)+(170)(x+2)=442×100

⇒872x+600=442×100

⇒x=50

So, the consecutive numbers are 50,51 and 52

Step-by-step explanation:

Let the consecutive numbers be x,x+1 and x+2

If they are divided by 10,17 and 26 respectively,

Then,

10x + 17x+1 + 2x+2

=10

⇒442x+(260)(x+1)+(170)(x+2)=442×100

⇒872x+600=442×100

⇒x=50

So, the consecutive numbers are 50,51 and 52