Question

The product of three consecutive natural number taken two at a time is 74 .Find these three numbers.Answer in text book is4,5,6
Hint(Let the smallest number be x.Then x(x+1) +(x+1)(x+2) +(x+2)x=74

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Answer 1

Step-by-step explanation:

Let

x−1,x,x+1 be three consecutive natural number

Given 5(x−1)=9+4(x+1)

5x−5=9+4x+4

x=18

∴ The number are 17,18,19

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