Question
HCF of two numbers 60 and 100 can be expressed in the
form of (25m β 80) whereas LCM of these two numbers can be expressed in the form of (40n β 20). Find the ratio of (n Γ m).Solution
HCF of 60 and 100 = 20 LCM of 60 and 100 = 300 According to the question, => 25m β 80 = 20 => m = 4 And, 40n β 20 = 300 => n = 8 Required answer = n x m = 32
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