Question
If Ashish has 3 types of pens in a ratio 4 : 6 : 5 such
that their LCM is 360, then find the sum of the highest and lowest number of pens that he has?Solution
Let the number of pens be 4a, 6a and 5a Then, we have LCM of (4a, 6a, 5a) = a times; LCM(4, 6, 5) = 60a rArr; 60a = 360 rArr; a = 6 rArr; No. of pens are 24, 36, 30 there4; The sum is 36 + 24 = 60
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