Question

find three consecutive odd
numbers whose sum is
93.
​

Answer 1

Answer:

29, 31, 33

Step-by-step explanation:

Let the three consecutive odd no. be 2x+1 , 2x+3 and 2x +5

Given that,

Sum of three consecutive odd no. = 93

(2x+1) +(2x+3) +(2x+5) = 93

6x + 9 = 93

6x = 93-9

6x = 84

x = 14

numbers are 29, 31, 33

Answer 2

Answer:

1st consecutive odd number = 2x + 1

2nd consecutive odd number = 2x + 3

3rd consecutive number = 2x + 5

Sum = 93

We used (2x + 1, 2x + 3...) this formula as 2 multiplied a 'certain number' added to an odd number surely gives us an odd number. This way we are making sure that our answers are odd as given in the question. If the question is of consecutive even numbers, then the formula would be 2x, 2x + 2, 2x + 4 and so one.

(2x + 1) + ( 2x + 3) + (2x + 5) = 93

2x + 1 + 2x + 3 + 2x + 5 = 93

2x + 2x + 2x + 1 + 3 + 5 = 93

6x + 9 = 93

6x = 93 - 9

6x = 84

x = 84 ÷ 6

x = 14

Hence, 1st consecutive odd number = (2x + 1)

= 2 × 14 + 1

= 28 + 1

= 29

2nd consecutive odd number = (2x + 3)

= 2 × 14 + 3

= 28 + 3

= 31

3rd consecutive odd number = (2x + 5)

= 2 × 14 + 5

= 28 + 5

= 33

ANS = 33 + 31 + 29 = 93

Hope it helps