Question

The sum of four consecutive odd numbers is 128. Find the numbers.

4 points

5, 7, 9, 11

11, 13, 15, 17

29, 31, 33, 35

15, 17, 19, 21​

Answer 1

Answer:

first four consecutive odd numbers are 1,3,5,7

sum of odd numbers is 16

Answer 2

Answer:

Let four consecutive odd numbers be 2x + 1, 2x + 3, 2x + 5 and 2x + 7.

According to the question,(2x + 1) + (2x + 3) + (2x + 5) + (2x + 7) = 128

→ 8x + (1 + 3 + 5 + 7) = 128

→ 8x + 16 = 128

→ 8x = 128 - 16

→ 8x = 112

→ 8x = 112/8

→ x = 14

∵ 2x + 1=(2 × 14) + 1 = 29, 2x + 3=(2 × 14) + 3 = 31,

2x + 5=(2 × 14) + 5 = 33, 2x + 7= (2 × 14) + 7 = 35

Hence, the required numbers are 29, 31, 33 and 35.