Question

The sum of three consecutive odd numbers is 20 more than the first number what is the middle number

Answer 1

let 3 consecutive odd numbers be

x,x+2,x+4 respectively..

given sum of 3 consecutive odd

numbers is 20 more than 1st number..

x+(x+2)+(x+4)=20+x

3x+6=20+x

3x-x=20-6

2x=14

x=7..

hence numbers are 7,9,11

middle number is 9..

Answer 2

The middle number is 9

Step-by-step explanation:

Let the three consecutive odd numbers are x+1 , x+3 , x+5

We are given that The sum of three consecutive odd numbers is 20 more than the first number

So,$x+1+x+3+x+5=x+1+20$

$3x+9=x+21$

$3x-x=21-9$

$2x=12$

$x=\frac{12}{2}$

x=6

So, The middle number = x+3=6+3 = 9

Hence The middle number is 9

#Learn more:

The sum of three consecutive odd number is 57

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