Question

The LCM of two numbers is 15 times of HCF. The sum of HCF and LCM is 480. If both number are smaller than LCM. Find both the answer.
please answer me​

Answer 1

Answer:

Here is how I solved this in mind without using formulas or pen/paper

Factors of 93 => 31 and 3

Unlikely that 3 will be the HCF as 12*3 is 36 which can’t be the LCM for 93.

If 31 is the HCF, which is a prime number, the other number must be a multiple of 31 and 4 as the LCM is a multiple of 4 (It’s 12 times the HCF)

So the other number could be 31 * 4 => 124

Verify that the LCM (HCF*12 = 21*12 = 372) is a multiple of 124

Verify by doing the sum of HCF (31) and LCM (372) = 403 as per the statement

Hence the answer is 124

Answer 2

Answer:

The two numbers smaller than LCM are 90 and 150