Question

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

Answer 1

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,

10

x

+

17

x+1

+

26

x+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