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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?

A 60 Correct Answer Incorrect Answer
B 40 Correct Answer Incorrect Answer
C 70 Correct Answer Incorrect Answer
D 30 Correct Answer Incorrect Answer

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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