Question

find three consective numbers such that if they are divided by 10,17,and26 respectively the sum of their quotients Will be 10
hint: let the consecutiv number=X,X+1,X+2,the X/10 + X+1/17+X+2/20=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,

10x+17x+1+26x+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