Correct Question:-
Four less than 5 times a number is the same as 26 more than twice the number.Find the number?
Answer:-
Let the number =x
- Four less than 5 times of the number means the polynomial is (5x-4)
- 26 more than twice the number means the polynomial is (2x+26)
- Now according to question Both are equal
ATQ,
[tex]\sf (5x-4)=(2x+26)[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 5x-4=2x+26 [/tex]
- Now take unknown polynomials to one side and numbers to other side
[tex]{:}\longrightarrow[/tex][tex]\sf 5x-2x=26+4 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3x=30 [/tex]
- Now interchange sides and get x
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {30}{3}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]{\underline{\boxed{\bf{x=10}}}}[/tex]
[tex]\therefore[/tex][tex]\sf The\:number\:is\: 10.[/tex]
