Unless told otherwise, the center ofrotation<span> is the </span>origin<span> (0, 0).</span>
![\sf \bf {\boxed {\mathbb {GIVEN:}}}](https://tex.z-dn.net/?f=%5Csf%20%5Cbf%20%7B%5Cboxed%20%7B%5Cmathbb%20%7BGIVEN%3A%7D%7D%7D)
Sum of three consecutive odd integers = ![27](https://tex.z-dn.net/?f=27)
![\sf \bf {\boxed {\mathbb {TO\:FIND:}}}](https://tex.z-dn.net/?f=%5Csf%20%5Cbf%20%7B%5Cboxed%20%7B%5Cmathbb%20%7BTO%5C%3AFIND%3A%7D%7D%7D)
The values of the three integers.
![\sf \bf {\boxed {\mathbb {SOLUTION:}}}](https://tex.z-dn.net/?f=%5Csf%20%5Cbf%20%7B%5Cboxed%20%7B%5Cmathbb%20%7BSOLUTION%3A%7D%7D%7D)
![\sf\purple{The\:three\:consecutive \:odd\:integers\:are\:7,\:9\:and\:11.}](https://tex.z-dn.net/?f=%5Csf%5Cpurple%7BThe%5C%3Athree%5C%3Aconsecutive%20%5C%3Aodd%5C%3Aintegers%5C%3Aare%5C%3A7%2C%5C%3A9%5C%3Aand%5C%3A11.%7D)
![\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}](https://tex.z-dn.net/?f=%5Csf%20%5Cbf%20%7B%5Cboxed%20%7B%5Cmathbb%20%7BSTEP-BY-STEP%5C%3A%5C%3AEXPLANATION%3A%7D%7D%7D)
Let us assume the three consecutive odd integers to be
,
and
.
As per the condition, we have
![Sum \: \: of \: \: the \: \: three \: \: consecutive \: \: odd \: \: integers = 27](https://tex.z-dn.net/?f=Sum%20%5C%3A%20%20%5C%3A%20%20of%20%5C%3A%20%20%5C%3A%20%20the%20%20%5C%3A%20%20%5C%3A%20three%20%5C%3A%20%20%5C%3A%20%20consecutive%20%5C%3A%20%20%5C%3A%20%20odd%20%5C%3A%20%20%5C%3A%20%20integers%20%20%3D%2027)
![➺ \: x + (x + 2) + (x + 4) = 27](https://tex.z-dn.net/?f=%E2%9E%BA%20%5C%3A%20x%20%2B%20%28x%20%2B%202%29%20%2B%20%28x%20%2B%204%29%20%3D%2027)
![➺ \: x + x + 2 + x + 4 = 27](https://tex.z-dn.net/?f=%E2%9E%BA%20%5C%3A%20x%20%2B%20x%20%2B%202%20%2B%20x%20%2B%204%20%3D%2027)
Now, collect the like terms.
![➺ \: (x + x + x) + (2 + 4) = 27](https://tex.z-dn.net/?f=%E2%9E%BA%20%5C%3A%20%28x%20%2B%20x%20%2B%20x%29%20%2B%20%282%20%2B%204%29%20%3D%2027)
![➺ \: 3x + 6 = 27](https://tex.z-dn.net/?f=%E2%9E%BA%20%5C%3A%203x%20%2B%206%20%3D%2027)
![➺ \: 3x = 27 - 6](https://tex.z-dn.net/?f=%E2%9E%BA%20%5C%3A%203x%20%3D%2027%20-%206)
![➺ \: 3x = 21](https://tex.z-dn.net/?f=%E2%9E%BA%20%5C%3A%203x%20%3D%2021)
![➺ \: x = \frac{21}{3} \\](https://tex.z-dn.net/?f=%E2%9E%BA%20%5C%3A%20x%20%3D%20%20%5Cfrac%7B21%7D%7B3%7D%20%5C%5C)
![➺ \: x = 7](https://tex.z-dn.net/?f=%E2%9E%BA%20%5C%3A%20x%20%3D%207)
Therefore, the three consecutive odd integers whose sum is
are
,
and
respectively.
![\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}](https://tex.z-dn.net/?f=%5Csf%20%5Cbf%20%7B%5Cboxed%20%7B%5Cmathbb%20%7BTO%5C%3AVERIFY%20%3A%7D%7D%7D)
![⇢ 7 + 9 + 11 = 27](https://tex.z-dn.net/?f=%E2%87%A2%207%20%2B%209%20%2B%2011%20%3D%2027)
![⇢ 27 = 27](https://tex.z-dn.net/?f=%E2%87%A2%2027%20%3D%2027)
⇢ L. H. S. = R. H. S.
![\sf\blue{Hence\:verified.}](https://tex.z-dn.net/?f=%5Csf%5Cblue%7BHence%5C%3Averified.%7D)
![\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}](https://tex.z-dn.net/?f=%5Cred%7B%5Clarge%5Cqquad%20%5Cqquad%20%5Cunderline%7B%20%5Cpmb%7B%7B%20%5Cmathbb%7B%20%5Cmaltese%20%5C%3A%20%5C%3A%20Mystique35%E3%83%85%7D%7D%7D%7D%7D)
Answer:
the question is not clear
Answer: 14
Step-by-step explanation:
⇒ Michael's age = x −25
⇒ x − 25 + x = 53
⇒ 2x = 53 + 25
⇒ 2x =78
⇒ x =39
Hence, Michael's age
<h2>= x − 25 = 39 − 25 = 14 </h2>
* Hopefully this helps:) Mark me the brainliest:)!!!
<em>~234483279c20~</em>