Math, asked by priya091, 1 year ago

sum of odd consecutive numbers is 63. Find the numbers.

Answers

Answered by Anonymous
1
Let the three consecutive odd numbers be x, x+2, x+4
Given that the sum of these numbers = 63
Therefore
x + x + 2 + x + 4 = 63
3x + 6 = 63
3x = 57
x = 57/3 = 19

Therefore the three consecutive odd numbers are 19, 21, 23
Answered by BrainlyPromoter
16

Answer:

19, 21 and 23

Step-by-step explanation:

We know that consecutive odd number differ by 2 so,


Let the three consecutive odd numbers be x, ( x + 2 ) and ( x + 4 ) respectively.


We can derive the following equation by reading the question carefully,


x + ( x + 2 ) + ( x + 4 ) = 63

x + x + 2 + x + 4 = 63

3x + 6 = 63

3x = 63 - 6

3x = 57

x = 57 / 3

x = 19


Therefore we can calculate the consecutive odd numbers now:


First Consecutive Odd Number = 19

Second Consecutive Odd Number = 19 + 2 = 21

Third Consecutive Odd Number = 19 + 4 = 23

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