Question

Four less than 5 times a number is the same as 26 more than twice the number .

Answer 1

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,

`\sf (5x-4)=(2x+26)`

• Open the brackets

`{:}\longrightarrow`
`\sf 5x-4=2x+26`

• Now take unknown polynomials to one side and numbers to other side

`{:}\longrightarrow`
`\sf 5x-2x=26+4`

• Now simplify

`{:}\longrightarrow`
`\sf 3x=30`

• Now interchange sides and get x

`{:}\longrightarrow`
`\sf x={\frac {30}{3}}`

`{:}\longrightarrow`
`{\underline{\boxed{\bf{x=10}}}}`

`\therefore`
`\sf The\:number\:is\: 10.`