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Mathematics

The HCF and LCM of two numbers are 9 and 270 respectively. If one of the numbers is 45, find the other number.

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Answer

We know that:

Product of HCF and LCM of two numbers = Product of the numbers

⇒ 9 × 270 = 45 × (other number)

⇒ Other number = 9×27045\dfrac{9 \times 270}{45}

⇒ Other number = 243045\dfrac{2430}{45}

⇒ Other number = 54.

Hence, the other number is 54.

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