Question

Dennis thought of a number. He adds 0.5 to that number and then multiplies the new result by 4. He then subtracts 2 and divides the number by 2. His final answer is 48. What number did Dennis start with?

Answer 1

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Answer 2

Let n be the number.

According to the question, he adds 0.5 to the number so add 0.5 to n.

n + 0.5

Then, multiply the new result (n + 0.5) by 4.

4(n + 0.5)

Next, subtract 2 from the result.

4(n + 0.5) - 2

Divide it by 2.

[4(n + 0.5) - 2] ÷ 2

The answer of the expression is 48.

[4(n + 0.5) - 2] ÷ 2 = 48

Now, we solve to find n.

Move the 2 over to 48 and multiply.

4(n + 0.5) - 2 = 48 × 2

4(n + 0.5) - 2 = 96

Open the brackets by multiplying 4 with n + 0.5.

4n + 2 - 2 = 96

Subtract 2 from 2.

4n + 0 = 96

Finally, divide 96 by 4.

n = 96 ÷ 4

n = 24

Hence, the number is 24.