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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 ?
  • a)
    £  9
  • b)
    £  11
  • c)
    £  13
  • d)
    £  15
Correct answer is option 'C'. Can you explain this answer?
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Mac has £ 3 more than Ken, but then Ken wins on the horses and trebles...
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Mac has £ 3 more than Ken, but then Ken wins on the horses and trebles...
Given Information:
- Mac has £3 more than Ken.
- Ken wins on the horses and trebles his money.
- Ken now has £2 more than the original amount of money that the two boys had between them.

To find: The amount of money Mac and Ken had between them before Ken's win.

Let's solve this step by step.

1. Assume the amount of money Ken has as 'x'.
- Mac has £3 more than Ken, so Mac has x + £3.

2. Ken wins on the horses and trebles his money.
- Ken now has 3x.

3. Ken now has £2 more than the original amount of money that the two boys had between them.
- Ken's new amount is 3x.
- The original amount of money that the two boys had between them is x + (x + £3).

4. We can form the following equation:
3x = x + (x + £3) + £2

5. Solve the equation:
3x = 2x + £3 + £2
3x = 2x + £5

Subtract 2x from both sides:
x = £5

6. Substitute the value of x back into the equation to find the original amount of money between Mac and Ken:
Original amount = x + (x + £3)
= £5 + (£5 + £3)
= £5 + £8
= £13

Therefore, the original amount of money that Mac and Ken had between them before Ken's win is £13. Hence, the correct answer is option C.
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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 ?a)£9b)£11c)£13d)£15Correct answer is option 'C'. Can you explain this answer?
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