If the LCM of two numbers a and b is 60 and their HCF is 15. Determine their mean proportion.
Answer & explanation
Correct answer: option 1
LCM = 60
HCF = 15
Product of two numbers ( a × b ) = LCM × HCF
Mean proportion = \(\sqrt {ab}\)
The first number = a
Second number = b
⇒ a × b = LCM × HCF
⇒ a × b = 60 × 15
⇒ a × b = 900
The mean proportion is
⇒ \(\sqrt {ab}\)=\(\sqrt {900}\)
⇒ 30