Question

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. .

Answer 1

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

Answer 2

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