Question

The sum of three consecutive odd numbers is 75. Which is the largest amounh them?

Answer 1

The largest odd number among the three consecutive odd numbers which give their sum as 75 is 27.

• Sum of three consecutive odd numbers is given as 75.
• Let us consider the first odd number as x.
• Next odd number will be (x+2).
• Next odd number will be (x+4).
• According to the given condition,

x + (x+2) + (x+4) = 75

3x + 6 = 75

3x = 69

x = 23

• First odd number is 23 .
• Next odd number will be (x+2) that is 25.
• Next odd number will be (x+4) that is 27.
• Largest is 27.