The LCM of two numbers is 12 times their HCF. The sum of the HCF and the LCM is 403. If one of the numbers is 93, then the other number is?
Answer & explanation
Correct answer: option 1
LCM = 12 × HCF
HCF + LCM = 403
HCF + 12 HCF = 403
13 HCF = 403
HCF = 31
∴ a × b = LCM × HCF
93 × b = 12 × 31 × 31
b = \(\frac{12 × 31 × 31}{93}\)
b = 124