express three consecutive odd numbers whose sum is 512
Answers
Step-by-step explanation:
Here,
1st consecutive odd number = x
2nd consecutive odd number = x+1
3rd consecutive odd number =x+2
According to statement,
x+x+1+x+3=512
3x+=512
3x=512-3
3x=509
x=509/3
I don't no.
Answer:
The correct answer is x = 508/ 3.
Step-by-step explanation:
Given:
Sum exists 512.
To find:
Express three consecutive odd numbers.
Consecutive numbers are numbers that pursue each other in order from the smallest number to the largest number. The distinction between consecutive numbers exists always fixed and it pursues a pattern.
Step 1
First consecutive odd number = x
Second consecutive odd number = x + 1
Third consecutive odd number = x + 2
According to statement,
x + x + x + 1 + 3 = 512
Step 2
Group like terms
x + x + x + 1 + 3 = 512
Add similar elements: x + x + x = 3x
3x + 1 + 3 = 512
Add the numbers: 1 + 3 = 4
3x + 4 = 512
Step 3
Subtract 4 from both sides
3x + 4 - 4 = 512 - 4
Simplify
3x = 508
Divide both sides by 3
3x/ 3 = 508/ 3
Simplify
x = 508/ 3
Therefore, the correct answer is x = 508/ 3.
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