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?23.5,20,24,28.5
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Let the number Dennis thought of be 'x'
He added 0.5 to the number, so we get 0.5+x
Then the result is multiplied by 4, so we get
He then subtracts 2, divides the number by 2 and gets the result as 48.
So,
2x = 48
So, x = 24
Therefore, Dennis thought of the number 24.
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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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