Question

dennis thinks of a number. he adds 0.5 to that number than 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

here is the solution

Answer 2

Define x:

Let the number be x

adds 0.5 to that number

⇒ x + 0.5

multiplies the new result by 4

⇒ 4(x + 0.5)

subtracts 2:

⇒4(x + 0.5) - 2

Divides the number by 2:

⇒ [4(x + 0.5) - 2] ÷ 2

Final answer is 48:

⇒ [4(x + 0.5) - 2] ÷ 2 = 48

Solve x:

[4(x + 0.5) - 2] ÷ 2 = 48

Multiply both sides by 2 :

4(x + 0.5) - 2  = 96

Add 2 to both sides:

4(x + 0.5)  = 98

Divide both sides by 4:

x + 0.5  = 24.5

Subtract 0.5 from both sides:

x = 24

Answer: The number is 24