Multiple choice

The ratio between two numbers is $8:5$ and their LCM is $360$. The larger number is____.

  1. $24$
  2. $72$
  3. $48$
  4. $36$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let numbers be 8x and 5x. LCM of 8x and 5x is 40x. Given 40x = 360, so x = 9. The numbers are 8*9=72 and 5*9=45. The larger number is 72.

AI explanation

Let the two numbers be 8x and 5x. Because their highest common factor is x, their least common multiple is given by the product of the numbers divided by their HCF, yielding 40x. We are given that the least common multiple is 360, so 40x = 360, which means x = 9. The larger number is 8x, which calculates to 72.

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