Multiple choice

The LCM of two numbers is 1820 and their HCF is 26 if one number is 130, then the other number is

  1. 70

  2. 1690

  3. 364

  4. 1264
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C Correct answer
Explanation

Product of two numbers = LCM * HCF. 130 * x = 1820 * 26. x = (1820 * 26) / 130 = 1820 / 5 = 364.

AI explanation

Using the identity that the product of two numbers equals their LCM multiplied by their HCF, we set up the equation 130 multiplied by the other number equals 1820 multiplied by 26. Rearranging the equation gives the other number equal to (1820 multiplied by 26) divided by 130. Simplifying this gives 140 multiplied by 26, which is 364. The result is 364.

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