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How many multiple of 9 lie between 10 and 300?

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How many multiple of $9$ lie between $10$ and $300$ ?

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How many multiple of

9

lie between

10

and

300

14 mins ago

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Text solutionVerified

Given multiple of 9 between 10 & 300

First number

a=18

and common difference = 9.

Total number between 10 & 300 = 300 - remainder of

(\frac{300}{9})

Last term = 300-3 =297

Given sequences is 18,27,......297.

Total multiple of 9 between 10 & 300.

297=18+(n-1)9

297-18+9=9n

9n=297-9=288

[n=32]

∴

Total term are 32 whose are multiple of 9.

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Question Text	How many multiple of $9$ lie between $10$ and $300$ ?
Answer Type	Text solution:1
Upvotes	150

How many multiple of 9 lie between 10 and 300?

Text solutionVerified

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How many multiple of $9$ lie between $10$ and $300$ ?