Answer

Verified

382.5k+ views

**Hint:**The easiest way to write algebraic expressions from a sentence is to look for the unknown quantity, and assume it to be a variable (say \[x\]). And then, we must perform suitable operations, as needed. Once the equation is formed, we can solve it to find the value of $x$.

**Complete step-by-step solution:**

The verbal representation of required algebraic expression is given as “four added to twice a number yield $\dfrac{26}{5}$” Here, we do not have any information regarding the “number” mentioned in our above statement.

So, we are assuming this “number” to be \[x\].

We can see that the first part of our statement says “twice a number”, that is, the number $x$ is multiplied by 2.

And so, our expression now becomes \[\left( 2x \right)\].

We now have, “four added to twice a number”. So, now by using our past steps, we can also write this statement as “four added to \[\left( 2x \right)\]”.

So, our expression now evaluates to \[\left( 4+2x \right)\].

The complete statement is “four added to twice a number yield $\dfrac{26}{5}$”. Thus, we can write,

$4+2x=\dfrac{26}{5}$.

On subtracting 4 on both sides, we get

$2x=\dfrac{26}{5}-4$.

We can take the LCM on right hand side, and thus, we get

$2x=\dfrac{26-20}{5}$.

$\Rightarrow 2x=\dfrac{6}{5}$.

We can now cancel 2 from both sides,

$x=\dfrac{3}{5}$.

**Hence, our required number is \[\dfrac{3}{5}\].**

**Note:**We must carefully read that on which part of our expression, any specified operation is taking place. Also, we must also take care to always use any operation on both sides of our equation. For unknown value we assume a variable and write the linear equation to find the value.

Recently Updated Pages

what is the correct chronological order of the following class 10 social science CBSE

Which of the following was not the actual cause for class 10 social science CBSE

Which of the following statements is not correct A class 10 social science CBSE

Which of the following leaders was not present in the class 10 social science CBSE

Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE

Which one of the following places is not covered by class 10 social science CBSE

Trending doubts

Derive an expression for drift velocity of free electrons class 12 physics CBSE

Which are the Top 10 Largest Countries of the World?

Write down 5 differences between Ntype and Ptype s class 11 physics CBSE

The energy of a charged conductor is given by the expression class 12 physics CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Derive an expression for electric field intensity due class 12 physics CBSE

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Derive an expression for electric potential at point class 12 physics CBSE