Question
The HCF and LCM of two consecutive even number is 2 and
112 respectively. Find the sum of reciprocal of these two numbers?Solution
HCF = 2 Ratio =  : y 2x : 2y LCM = 2 × x×y (where x and y are coprime) 2 × x × y = 112 x × y = 56 factor 7 and 8 2x : 2y = 14 and 16 Sum as reciprocal = 1/14 + 1/16 = (8+7)/112 = 15/112
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