Let the Number be : Z
Given : 4 less than the number is 1 more than 2 times the number
[tex]:\implies[/tex] (Z - 4) - 1 = 2Z
[tex]:\implies[/tex] Z - 4 - 1 = 2Z
[tex]:\implies[/tex] Z - 5 = 2Z
[tex]:\implies[/tex] 2Z - Z = -5
[tex]:\implies[/tex] Z = -5
Hence, the required number is -5
