Math, asked by omesh4975, 8 months ago

Three consecutive odd natural numbers are such that the product of the first and third is greater than four times the middle by 1. Find the Three consecutive odd natural numbers are such that the product of the first and third is greater than four times the middle by 1. Find the numbers. .

Answers

Answered by SeshankMannuru
4

•°•The three consecutive odd natural numbers are 3,5,7

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Answered by anshikaverma29
4

Let the numbers be x , x + 2 and x + 4 .

ATQ :

x ( x + 4 ) = 4 ( x + 2 ) + 1 \\\\x^2+4x=4x+8+1\\\\x^2=9\\\\

x = ± 3

It is given that numbers are natural so we can neglect -3 .

Then the numbers are :

x , x + 2 , x + 4 = 3 , 5 , 7

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