Question

You and a friend are playing a number-guessing game. You ask your friend to think of a positive number, square the number, multiply the result by 2, and then add 3. Your friend's final answer is 53. What was the original number chosen

Answer 1

Answer:

5

Step-by-step explanation:

Go backwards:

53-3=50

50/2=25

25 root=5

Answer 2

The original number chosen by your friend is; 5

Let the number the friend picked be x.

This number is squared and multiplied by 2. This gives;

2x²

Now, 3 is added to it to obtain;

2x² + 3

We are told that this results in a final answer of 53. Thus;

2x² + 3 = 53

• Using subtraction property of equality, we subtract 3 from both sides to obtain;

2x² + 3 - 3 = 53 - 3

2x² = 50

• Using division property of equality, we divide both sides by 2 to get;

2x²/2 = 50/2

x² = 25

x = √25

x = 5

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