The LCM of two numbers is 15 times their HCF. The sum of the LCM and the HCF is 112. If one of the numbers is 49, then the other number is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 15
Given that
LCM = 15 HCF
LCM + HCF = 112
15HCF + HCF = 112
16 HCF = 112
HCF = 7
LCM = 15 × 7 = 105
As we know that
LCM × HCF = One number × Other number
105 × 7 = 49 × other number
Other number = 15