Question

The sum of three consecutive odd numbers is 75. which is the largest among them?​

Answer 1

Answer:

Given sum of three consecutive odd numbers is 75

Odd numbers are 1, 3, 5,1,9, 11, 13,……..

∴ The difference between 2 consecutive odd numbers is always 2. or in other words, if one odd number is x, the next odd number would be x + 2 and the next number would be x + 2 + 2 = x + 4

i.e x + 4

Since sum of 3 consecutive odd nos is 75

∴ x + x + 2 + x + 4 = 75

3x + 6 = 75 ⇒ 3x = 75 – 6

3x = 69

x = 69/3 = 23

The odd numbers are 23, 23 + 2, 23 + 4 i.e 23, 25, 27

∴ Largest number is 27.