Question
The Least Common Multiple (LCM) and Highest Common
Factor (HCF) of two numbers add up to 765. The LCM is 50 times the HCF. Given that one of the numbers is 75, determine the other number.Solution
ATQ, Let the HCF be x and LCM be 50x. According to the question, x+50x=765. Solve for x: 51x=765 ⇒ x=15. HCF = 15, LCM = 750. The product of two numbers = HCF × LCM = 15×750=11250. Given one number is 75, the other number = 11250 /75=150. The other number is 150.
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