Mac has pound 3 more than Ken but then Ken wins on the horses and trebles his money so that he now h...........

Logical Reasoning(Master ) Arithmetical Reasoning

Mac has £ 3 more than Ken, but then Ken wins on the horses and trebles his money, so that he now has £ 2 more than the original amount of money that the two boys had between them. How much money did Mac and Ken have between them before Ken's win ?

£ 9

£ 11

£ 13

£ 15

£ 18

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Explanation:

Let money with Ken = x.
Then, money with Mac = x + £ 3.
Now, 3x = (x + x + £ 3) + £ 2 x = £ 5.
Therefore Total money with Mac and Ken = 2x + £ 3 = £ 13.