Question

the sum of five conscutive oddnumbers is 85 find the numbers

Answer 1

Answer:

The required numbers are 13, 15, 17, 19, 21.

Step-by-step explanation:

Let the first five consecutive odd numbers be x, x+2, x+4, x+6, x+8.

Now, it is given that the sum of first five consecutive odd numbers is 85 which means:

⇒x+(x+2)+(x+4)+(x+6)+(x+8)=85

⇒5x+20=85

⇒5x=85−20

⇒5x=65

⇒x=65/5=13

Therefore, the first odd integer is 13 then the second integer is x+2 = 13+2 = 15, the third integer is x+4 = 13+4 = 17, the fourth integer is x+6 = 13+6 = 19 and the fifth integer is x+8 = 13+8 = 21.

The set of five consecutive odd numbers is 13, 15, 17, 19, 21.

Answer 2

Answer: 13, 15, 17, 19, 21

Step-by-step explanation:

consecutive odd numbers are = x + (x+2) + (x+4) + (x+6)+ (x+8) = 85

5x + 20 = 85

5x = 85-20

5x = 65

x = 65/5

x = 13

so the consecutive odd numbers are 13, 15, 17, 19, 21 .