### Theory:

Do you know the difference between the verbal statement and algebraic statements? Let's see an example to understand this clearly.
Example:
Kathir is twice taller than Kumar. That is Kathir height is two times larger than Kumar's height. Now, this is known as a verbal statement. If you write the above verbal statement in an algebraic statement we get,

Let the height of the Kumar is $$x$$

Therefore Kathir height $$=$$ $2×\mathit{Height}\phantom{\rule{0.147em}{0ex}}\mathit{of}\phantom{\rule{0.147em}{0ex}}\mathit{Kumar}\phantom{\rule{0.147em}{0ex}}=2x$.

In the above example, we understood that normally we use the verbal statement to mention any mathematical operation, then we translate this verbal statement to an algebraic statement to find the unknown value.
Now let's see a few examples of how we are using the verbal and algebraic statement in the mathematical operation.

[Note: Here the unknown value $$x$$ is represented in verbal statement as some number or a number].

 Operation Phrase Example -Verbal statement Algebraic statements Addition (+) The sum of The sum of a number and three. $x\phantom{\rule{0.147em}{0ex}}+3$ Plus A number plus three. $x\phantom{\rule{0.147em}{0ex}}+3$ Increased by three increased by some number. $3+x$

Subtraction  keywords: Minus, Decreased by, less than, the difference of, subtracted, etc.

 Operation Phrase Phrase example- Verbal statement Algebraic statements Subtraction (-) Subtracted from Eight subtracted from a number. $x-8$ Decreased by Eight decreased by some number. $x-8$ The difference of The difference between Eight and some number. $8\phantom{\rule{0.147em}{0ex}}-x$

Multiplication keywords: Multiplied by, The product of, Times, Thrice, Twice etc.

 Operation Phrase Phrase example -Verbal statement Algebraic statements Multiplication Multiplied by Some number multiplied by fifteen. $15x$ The product of The product of negative fifteen. $-15x$ Times Fifteen times a number. $15x$

Division keywords: Divided by, The ratio of, The quotient of, etc.

 Operation Phrase Phrase example -Verbal statement Algebraic statements Division Divided by Twelve divided by some number. $\frac{x}{12}$ The ratio of The ratio of Twelve to a number. $\frac{12}{x}$

Using these above, we can also make another operation that is,

Equals keywords: Equals, Is the same as, yields.

 Operation Phrase Phrase example -Verbal statement Algebraic statements Equals Equals Eight equals to less than three number. $8=3-x$ Is the same as Eight is the same as thrice the number. $8=3x$