Question

Find 3conicutive numbers numbers of Such that if they are divided by 20,17,26 respectively the sum of their quotients will be 10


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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