Question 18467
Let the number be x

"four times the quantity of a number decreased by one"
 means (4x-1)

"two more than the same number"
means (2x)

Both of these are equal,ie:

4x-1=2x

4x-2x-1=0

4x-2x = 1

2x = 1

x= 1/2
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Hope this helps,
Prabhat