Question
The LCM of two numbers is 33 times of their HCF. The sum of the LCM and HCF is 850. If one number is 25, then the other number is:
Solution
Let HCF = H, then LCM = 33 H => 33 H + H = 850 => 34 H = 850 => H = 850/34 = 25 LCM = 34 × 25 = 850 Now, First number × Second number = LCM × HCF => 25 × Second number = 850 × 25 => Second number = (850 × 25)/25 = 850
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