Question

Subtract $m+6n-10$ from the sum of $5m+2n-25$ and $-3m+8n-15$.

• A. $2m+10n-40$
• B. $m+4n-30$
• C. $2m-10n+40$
• D. $m+4n+30$

Answer 1

The correct option is B $m+4n-30$

$\underset{–}{\text{Step 1:}}$
Firstly, we need to add $5m+2n-25$ and $-3m+8n-15$. This can be done using column method as:


$\therefore$ The value of the sum of the algebraic expressions $5m+2n-25$ and $-3m+8n-15$ is $\underset{–}{2m+10n-40}$.

$\underset{–}{\text{Step 2}}:$
Now we need to subtract $m+6n-10$ from sum obtained in step 1, $\underset{–}{2m+10n-40}$. This can be done using column method as shown:


$\therefore$ The value obtained when $m+6n-10$ is subtracted from $2m+10n-40$ is $\underset{–}{m+4n-30}.$

Therefore, option (b.) is the correct answer.