Question

The result obtained by adding 4 to twice a number is the same as subtracting 9 from thrice that number. Find that number.

Answer 1

Hint: Let the number be $x$. Then form the equation according to the given condition, that is , if we add 4 to $2x$ it will be equal to $3x - 9$. Next, solve the formed equation to find the value of $x$ , which is the required number.

Complete step-by-step answer:
We have to find a number such that by adding 4 to twice that number is the same as subtracting 9 from thrice that number.
Let the required number be $x$.
Then, according to the given question, if we add 4 to \[2x\] is equal to the difference of $3x$ and 9.
That is,
\[4 + 2x = 3x - 9\]
Add like terms
\[2x - 3x = - 9 - 4\]
\[ \Rightarrow - x = - 13\]
Divide both sides by $ - 1$
$x = 13$
Hence, the required number is 13.

Note: While solving the equation, if we take one term from one side to other side, the sign of the term gets changed. Addition is replaced with subtraction and vice-versa. Division gets interchanged with multiplication.