sum of odd consecutive numbers is 63. Find the numbers.
Answers
Answered by
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
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
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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