Math, asked by rk317372, 8 months ago

the hcf of two numbers is 6 and lcm of the same numbers is 72. lf one number is 18, find the other number.

Answers

Answered by supreetkaur35
2

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Answered by Anonymous
6

Given:

  • LCM of two numbers is 72 .
  • HCF of two numbers is 6.
  • One of the number is 18.

To Find:

  • The other number.

Steps of Solving:

Let us take the another number be x .

Now ,we know a relationship between HCF ,LCM and the two numbers as ,

\large{\underline{\boxed{\red{\sf{\hookrightarrow HCF\times LCM = Product\:of\:two \:numbers}}}}}

Using above formula ,

\sf{\implies x\times 18=6\times72}

\sf{\implies x=\dfrac{6\times\cancel{72}}{\cancel{18}}}

\sf{\implies x= 6\times 4}

{\underline{\boxed{\red{\bf{\leadsto x=24}}}}}

Hence the other number is 24.

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