Question

sum of three consecutive odd number is 69 find the numbers​

Answer 1

Answer :

The numbers are 21, 23 and 25

Step-by-step explanation :

Given that :

Sum of three consecutive odd number.

To Find :

The numbers.

Solution :​

$\bigstar\;\textbf{\underline{\underline{Consider as -}}}$

3 consecutive odd numbers as - 'x', 'x+2' and 'x+4'  

A/Q :

$\tt \implies x + x + 2 + x + 4 = 69\\ \\\implies 3x + 6 = 69\\ \\\implies 3x = 63\\ \\\implies 21\\ \\\ \\\star\;\bf{\underline{\underline{Numbers\;are\;-}}}\\ \\\implies x = 21\\ \\\implies x + 2 = 21 + 2 = 23\quad (Prime\;and\;Required)\ \\\\\implies x + 4 = 21 + 4 = 25$

_________________________________________

$\bigstar$ Consecutive numbers :

The numbers that follow each other in an order called

"Consecutive numbers "

Answer 2

$\huge\underline\mathfrak\red{Answer}$

$\huge\boxed{21\:,\:23\:and\:25}$

_________________________

$\huge\underline\mathfrak\red{Explanation}$

Let the consecutive odd number be : (n),(n+2),(n+4)

____________________

According to question,

n+n+2+n+4 = 69

3n+6 = 69

3n = 69 - 6

3n = 63

n = 63/3

n = 21

____________________

★1st consecutive odd number = n = 21

★2nd consecutive odd number = n+2 = 21+2 = 23

★3rd consecutive odd number = n+4 = 21+4 = 25

_____________________