LCM and HCF Practice Test 1

Let the numbers be x and y.
∴ x + y = 216 = 27 × 8
Since HCF of these two numbers is 27, hence, common factor of these two numbers is 27.
Therefore these numbers will be of the form of 27 × 1, 27 × 2, 27 × 3, ... etc.
According to the condition of the problem sum of these numbers is 216.
∴ The numbers will be 27 × 3 = 81
and 27 × 5 = 135