Question

2. The sum of five consecutive odd numbers is 6785. What is the difference
between the greatest and the smallest of these numbers ?
(2) 10 (3) 6 (4) 9
(1) 8​

Answer 1

Answer:

Step-by-step explanation:

lets take the first number as x

other numbers = x + 2, x + 4, + x + 6, x + 8

x +  x + 2 + x + 4 + x + 6 + x + 8 = 6785

5x + 20 = 6785

5x = 6785 - 20

5x = 6765

x = 6765 / 5

x = 1353

substitute the values for other numbers

x + 1 = 1355

x + 2 = 1357

x + 3 = 1359

x + 4 = 1361

difference between the greatest and smallest number = (1361 - 1353) 8  

Answer 2

Given :

• The sum of five consecutive odd numbers is 6785.

To find :

• the difference  between the greatest and the smallest of these numbers?

Solution :

⇒ Let's find the consecutive odd numbers.

→ x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 6785

→ (x + x + x + x + x) + (2 + 4 + 6 + 8) = 6785

→ (5x) + (20) = 6785

→ 5x + 20 = 6785

→ 5x = 6785 - 20

→ 5x = 6765

→ x = 6765/5

→ x = 1353

∴ x = 1353

⇒ Consecutive numbers :

x = 1353

(x + 2) = 1353 + 2 = 1355

(x + 4) = 1353 + 4 = 1357

(x + 6) = 1353 + 6 = 1359

(x + 8) = 1353 + 8 = 1361

• Therefore, the numbers are 1353, 1355, 1357, 1359 and 1361.

Difference = Greatest Number - Smallest number

= 1361 - 1353

= 8

• Therefore, the difference  between the greatest and the smallest of these numbers is (i) 8.