Question

Dennis thinks 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

Let Dennis thought of a number = P

step 1:- He adds 0.5 to number , then number = P + 0.5

Step 2:- 4 is multiplied with (P + 0.5) , e.g., 4(P + 0.5) = 4P + 2

Step 3 :- 2 is Subtracted from (4P + 2) ,e.g., 4P + 2 - 2 = 4P

Step 4 :- 2 divides 4P by 2 e.g., 4P/2 = 2P

Step 5 :- his final answer is 2P = 48

⇒ 2P = 48

⇒ P = 24

Hope that help!