Question
HCF of two numbers 70 and 140 can be expressed in the
form of (20m – 110) whereas LCM of these two numbers can be expressed in the form of (40n – 20). Find the ratio of (n × m).Solution
HCF of 70 and 140 = 70 LCM of 70 and 140 = 140 According to the question, => 20m – 110 = 70 => m = 9 And, 40n – 20 = 140 => n = 4 Required answer = n x m = 36
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