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find three consecutive odd integers such as the sum of forst and second integer exceed the third integer by 19​ .Now please answer tis question correctly please​

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Correct QUESTION:

Find the three consecutive odd INTEGERS such as the sum of FIRST and second INTEGER exceed the third integer by 19.

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Answer:

\sf{The \ three \ consecutive \ odd \ integers \ are}

\sf{21, \ 23 \ and \ 25.}

Given:

\sf{In \ three \ consecutive \ odd \ integers,}

\sf{sum \ of \ first \ and \ second \ integer \ exceed}

\sf{the \ third \ integer \ by \ 19.}

To find:

\sf{The \ three \ consecutive \ odd \ integers.}

Solution:

\sf{Let \ the \ three \ consecutive \ odd \ integers \ be}

\sf{(n-2), \ n, \ and \ (n+2).}

\sf{According \ to \ the \ given \ condition.}

\sf{(n-2)+n=(n+2)+19}

\sf{\therefore{2n-2=n+21}}

\sf{\therefore{2n-n=21+2}}

\sf{\therefore{n=23}}

\sf{The \ three \ consecutive \ odd \ integers \ are}

\sf{n-2=23-2=21,}

\sf{n=23,}

\sf{n+2=25}

\sf\purple{\tt{\therefore{The \ three \ consecutive \ odd \ integers \ are}}}

\sf\purple{\tt{21, \ 23 \ and \ 25.}}



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