The HCF and LCM of two numbers are 6 and 120 respectively. If one of the numbers is 24, find the other number.

A.VERIFIED ANSWERfact-checked by tutors

Given that: HCF = 6
LCM = 120
Let the two numbers be a and b, where a = 24, b = ?
We know that: a × b = HCF × LCM
⇒ 24 × b = 6 × 120
⇒ b = 6 × 12024
⇒ b = 30
Hence, the other number is 30.

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