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Marcel has a number trick where he asks the audience to "think of a number." He calls this number x - Junior Cycle Mathematics - Question a - 2015

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Marcel has a number trick where he asks the audience to "think of a number." He calls this number x. Marcel gives the audience the instructions in the table bel... show full transcript

Worked Solution & Example Answer:Marcel has a number trick where he asks the audience to "think of a number." He calls this number x - Junior Cycle Mathematics - Question a - 2015

Step 1

Think of a number.

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Answer

The result is simply the number you chose, let this number be represented by xx.

Step 2

Multiply the number by 3.

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Answer

Now, multiplying xx by 3 will result in 3x3x.

Step 3

Add 2 to your answer.

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Answer

Adding 2 to 3x3x gives us 3x+23x + 2.

Step 4

Subtract your original number (i.e. x).

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Answer

When you subtract your original number xx from 3x+23x + 2, we get 2x+22x + 2.

Step 5

Divide your answer by 2.

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Answer

Dividing 2x+22x + 2 by 2 yields x+1x + 1.

Step 6

Subtract your original number.

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Answer

Finally, subtracting the original number xx from 11 results in 11.

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