Multiple choice

The HCF of two numbers is 3 and their LCM is 1035. If one of the numbers is 45, then which of the following is the other number?

  1. 69

  2. 72

  3. 66

  4. 45
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A Correct answer
Explanation

The product of two numbers equals the product of their HCF and LCM. 45 * x = 3 * 1035. x = (3 * 1035) / 45 = 1035 / 15 = 69.

AI explanation

Using the property that the product of two numbers equals their highest common factor multiplied by their least common multiple, we establish 45 times the other number equals 3 times 1035. Simplifying the right side gives 3105. Dividing 3105 by 45 yields 69, which is the other number.

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