Question
HCF of two numbers 40 and 90 can be expressed in the
form of (30m – 110) whereas LCM of these two numbers can be expressed in the form of (60n – 30). Find the ratio of (n × m).Solution
HCF of 40 and 90 = 10 LCM of 40 and 90 = 360 According to the question, => 30m – 110 = 10 => m = 4 And, 60n – 30 = 360 => n = 6.5 Required answer = n x m = 26
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