Form the linear equation from the following statement and then solve.
$7$ more than $9$ times a number is $43$ . What is the number?

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Solution

Step-1: To find the required equation:
Let the required number be $x$ .
So, $9$ times a number $= 9 x$
Also, when increased by $7$ .
The expression formed is $7 + 9 x$
Thus, required equation is $7 + 9 x = 43$ .
Step-2: To find the solution of the equation $7 + 9 x = 43$ :
Transposing $7$ to the R.H.S,
$\Rightarrow 9 x = 43 - 7$ .
$\Rightarrow 9 x = 36$
$\Rightarrow x = \frac{36}{9}$
$\Rightarrow x = 4$ .
Thus, $x = 4$ is the solution of $7 + 9 x = 43$ .

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