Multiple choice

The HCF and LCM of two numbers is 9 and 459 respectively. If one of the number is 27, then the other number is

  1. 153

  2. 459

  3. 150

  4. 135
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A Correct answer
Explanation

The product of two numbers equals the product of their HCF and LCM. 27 * x = 9 * 459. x = (9 * 459) / 27 = 459 / 3 = 153.

AI explanation

Using the formula for the product of two numbers, the product of two numbers equals their HCF multiplied by their LCM. Substitute the values to get 27 multiplied by the other number equals 9 multiplied by 459. Simplify 9 multiplied by 459 to 4131; dividing 4131 by 27 gives the other number, which is 153.

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