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