Math, asked by mailtoanujkashyap71, 6 months ago

find the value x in the proportion 9:5::36:(x-3)​

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Answered by parinishah0905
3

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Answered by Anonymous
15

Question:-

find the value x in the proportion 9:5::36:(x-3)

Answer:-

  • The value of x is 23.

To find:-

  • Value of x

Solution:-

According to question,

 \large{ \tt :  \implies \:  \:  \:  \:  \: 9 : 5 :  : 36 : (x -3 )}

 \large{ \tt :  \implies \:  \:  \:  \:  \:  \frac{9}{5}  =  \frac{36}{x - 3} } \\

After cross multiplication,

 \large{ \tt :  \implies \:  \:  \:  \:  \: 9 \times (x - 3) = 36 \times 5}

 \large{ \tt :  \implies \:  \:  \:  \:  \: 9x - 27 = 180}

 \large{ \tt :  \implies \:  \:  \:  \:  \: 9x = 180 + 27}

 \large{ \tt :  \implies \:  \:  \:  \:  \: 9x = 207}

 \large{ \tt :  \implies \:  \:  \:  \:  \: x = 23}

Hence,

The value of x is 23.

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