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

let the number that Dennis thought be x.
he adds 0.5 to it = x +0.5
multiply the number by 4 = (x+0.5)×4 = 4x + 2
he then subtracts 2 = 4x +2-2 = 4x
now finally divide by 2 = 4x /2 = 2x
his final answer is 48
= 2x =48
x = 48/2
= 24
hence, the number that Dennis starts with is 24.

okey-dookey solved it.

Answer 2

Given:

Dennis thought of a number.

Adds 0.5

Multiplies by 4

Subtracts 2 from it

Divides by 2

Result = 48

Solution:

Consider the number to be x.

Dennis adds 0.5. So, (x + 0.5)

Multiplies by 4. So, ( x + 0.5 )4. We get, (4x + 2)

Dennis subtracts 2. So, ( 4x + 2 - 2 ). We get, 4x

Divides by 2. So, 4x/2. We get, (2x)

He got the result as 48.

So, 2x = 48

Then,

x = 48 ÷ 2

x = 24

Hence, The number is 24.

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