Question

Sum of three consecutive odd numbers is 81. The sum of smallest number and largest
number is

​

Answer 1

Answer:

• 54

Step-by-step explanation:

Given

• Sum of three consecutive odd numbers is 81.

To find

• The sum of smallest number and largest number.

Solution

⇛ Let the required three consecutive odd numbers be,

1. x
2. x + 2
3. x + 4

⇛ Then their sum is 81,

• (x) + (x + 2) + (x + 4) = 81
• x + x + 2 + x + 4 = 81
• 3x + 6 = 81
• 3x = 81 - 6
• 3x = 75
• x = 75/3
• x = 25

⇛ The value of x is 25.

⇛ The numbers are,

• x = 25
• x + 2 = 25 + 2 =  27
• x + 4 = 25 + 4 = 29

⇛ Hence, the numbers are 25 , 27 , 29.

⇛ The sum of smallest and largest number,

• 25 + 29
• 54

⇛ Hence, the sum is 54.