The HCF and LCM of two 2-digit number are 16 and...

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The HCF and LCM of two 2-digit number are 16 and 480 respectively. The numbers are ?

A. 40, 48

B. 60, 72

C. 64, 80

D. 80, 96

Answer: Option D

Solution(By Examveda Team)

HCF = 16
∴ Let number are 16x and 16y
⇒ 16xy = 480
⇒ xy = 30
∴ Possible pairs = (1, 30), (2, 15), (6, 5)
Possible numbers are = (16, 480), (32, 240), (80, 96)
∴ (80, 96) is the answer in the given options of 2 digits.

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