Question

The sum of 5 consecutive odd numbers is 145.

Answer 1

let x be the first odd integer. x + 2 the second x + 4 the third x + 6 the fourth x + 8 the fifth. add them up and you get 5x + 20 set 5x + 20 = 145 and solve for x. 5x=145-20 5x=125 x=25 answer=25,27,29,31,33

Answer 2

Answer:

25 , 27, 29, 31, 33 are odd numbers .

Step-by-step explanation:

Given  : The sum of 5 consecutive odd numbers is 145.

To find : Find numbers .

Solution : We have given

Let the odd number = x

Consecutive Odd number : x,  x +2 x+4 ,x+ 6, x +8

According to question :

Sum of consecutive odd numbers is 145.

x+ x +2 +x+4 +x+ 6+x +8 = 145 .

Combine like terms

5x + 20 = 145 .

On subtracting both sides by 20

5x = 145 - 20.

5x = 125

On dividing both sides by 5.

x = 25.

Then , 25 + 2 = 27

25 + 4 = 29

25 + 6= 31

25 + 8 = 33

Sum 25 + 27+ 29+ 31+ 33= 145.

Therefore, 25 , 27, 29, 31, 33 are odd numbers .