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motikmotik
3 years ago
11

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

Mathematics
2 answers:
bagirrra123 [75]3 years ago
7 0
<h2>Required Answer:</h2>

19,21,23

<h2>Question:</h2>

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

<h2>Given:</h2>
  • sum of three consecutive odd numbers = 63
<h2>Let:</h2>

Three consecutive odd numbers be:

  • x
  • x+2
  • x+4
<h2>A/Q</h2>

sum of three consecutive odd numbers is 63

.°. x+(x+2)+(x+4)=63

→x+x+x=63-2-4

→3x=63-6

→3x=57

→x=57/3

→x=19

<u>We get value of x → 19</u>

Now put values in each number

First odd number= x

.°.<u>First odd number=19</u>

Second odd number =x+2

.°. Second odd number= 19+2

<u>Second odd number = 21</u>

Third odd number =x+4

.°.Third odd number=19+4

<u>Third odd number=23</u>

hope it helps!♡

Westkost [7]3 years ago
5 0

Answer:

19, 21, 23

Step-by-step explanation:

Let the first odd number be n.

Then the second, consecutive odd number will be (n+2).

And the third will be (n+4).

We know that they sum to 63. Hence, we can write the following equation:

n+(n+2)+(n+4)=63

Solve for n. Combine like terms:

3n+6=63

Subtract 6 from both sides:

3n=57

Divide both sides by 3:

n=19

Hence, the first odd number is 19.

Therefore, our sequence is: 19, 21, 23.

Note: If we get an even or non-integer value for our n, then there are no three consecutive odd integers that exists that sum to 63.

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