A farmer has three children and 44 gold coins. He decides to give coins to his three children in the following ratio: 1/3: 1/6: 1/9. What is the maximum number of coin received by a child?
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For convenience let us multiply the ratios by 9 so that the proportion gets modified as 3:1.5:1.
Let the third gets ‘x’ coins
Then, by the proportions the coins for the thre turn out to be 3x, 1.5x & x, respectively.
Sum of these coins = 44, I.e.,
3x+1.5x+x = 44
5.5x=44
x=44/5.5 = 8
1.5 x = 1.5x 8= 12
3x = 3x8 = 24
So, answer is 24, 12, 8
Which is in the ratio 1/3:1/6:1/9
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