The LCM of two numbers is 114 times their HCF. If the sum of LCM and HCF is 2300 and one of the numbers is 380, find the other number.

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Answer: (C) 120

Explanation

LCM + HCF = 115 × HCF = 2300, so HCF = 20 and LCM = 2280. The other number = HCF × LCM / 380 = 20 × 2280/380 = 120.