The product of 2 numbers is 6750 and their LCM is 450. If the difference between the numbers is equal to their HCF, then find the smaller number.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 75
As we know the
the product of the numbers = LCM × HCF
6750 = 450 × HCF
HCF = 15
Given, the difference between the numbers = HCF = 15
LCM of these numbers = 450 and product of numbers = 6750
The numbers should be uncommon factors of = 450/15 = 30
The pair of uncommon factors which satisfy the above criteria (5, 6)
Hence, the smallest number is = 5 × 15 = 75