Home > Practice > Arithmetic Aptitude > HCF & LCM of Numbers > Miscellaneous
1. The HCF and LCM of two 2-digit number are 16 and 480 respectively. The numbers are ?
∴ 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.
Solution:
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.