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Robin has 4 times as many marbles as Azad has and 5 times as many as Kalam has. If Kalam has more than 40 marbles, what is the least number of marbles Robin could have?

Robin has 4 times as many marbles as Azad has and 5 times as many as Kalam has. If Kalam has more than 40 marbles, what is the least number of marbles Robin could have? Correct Answer 220

let, azad = a robin = r kalam = k ATQ, r = 4a = 5k 5k = 4a k = 4a/5......i again given k is more than 40 k>40 let k = 41 from equation... i 41 = 4a/5 a = 205/4 which is not integer accordingly if k = 42, 43 a is not integer but if k = 44 a = (44*5)/4 = 55 so minimum value of k is 44 for which minimum value of a is integer r = 4a or r = 5k r = 4*55 or r = 5*44 r = 220 ans: 220

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