Question

Dennis thinks of a number.he adds 0.5 to that number and then multiplies the new results 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

Hence, Dennis thought a number = 24

Answer 2

let the no.. be p

=p+0.5

=4(p+0.5)
=4p+2

=4p+2-2

=4p÷2
=2p

=2p=48
p=24

hope it helps
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