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

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sassy11111515

10.02.2022

Correct Question:-

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

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

${:}\longrightarrow$ $\sf x={\dfrac {30}{3}}$

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

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

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

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