Math, asked by harshit434, 11 months ago

a positive number is 5 times another number if 21 is added to both the numbers then one of the new number becomes twice the other new number what are the numbers

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Answered by nikhilscigeek2005
2

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Answered by Anonymous
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A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?

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Let above number be 'x'

 \leadsto \tt{2  \times x + 21 = 5x + 21}

 \leadsto \tt{2  x + 42 = 5x + 21}

 \leadsto \tt{2  x - 5x   =   21 - 42}

 \leadsto \tt{- 3x   =   21 }

 \leadsto \tt{ 3x   =   21 }

 \leadsto \tt{ x   =    \frac{21}{3}  }

 \leadsto \tt{ x   =    7}

So the two numbers are 7 and 35.

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