Math, asked by arifuzzaman20twenty, 8 hours ago

14. The product of two natural numbers is 75645. If one number is 5 times the other, find the other

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Answered by Tiger2317
0

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Answered by shwetayadav18054
0

 \frak{given}

  • two number is 75645

  • one number is 5 time

 \frak{to \: find}

  • others natural number

 \frak{solution}

let the first nature number be x

and other natural number be 5x

 \red{ \frak{according \:  to \:  the \:  question}}

 \implies \sf \: x \times 5x = 75645

 \implies \sf \: 5 {x}^{2}  = 75645

 \implies \sf \:  {x}^{2}  =  \frac{ \cancel{75645}}{ \cancel5} \\

 \implies \sf \:  {x}^{2}  = 15129

 \implies \sf \: x =  \sqrt{15129}

 \implies \sf \: x = 123

others number be 5x = 5 × 123 = 615

hence, the other natural number be 615

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