Question

Which value of $a$ would satisfy the algebraic equation $a+5+(-4)=12?$

• A. $9$
• B. $10$
• C. $11$
• D. $12$

Answer 1

The correct option is C $11$

$\underset{–}{\text{Need to find:}}$ Value of $a$ which satisfies the algebraic equation $a+5+(-4)=12$

$a+5+(-4)=12$
$\Rightarrow a+5-4=12$
$\Rightarrow a+1=12$
Subtracting 1 from both sides
$\Rightarrow a+1-1=12-1$
$\Rightarrow \underset{–}{a=11}$

Therefore, option (c) is the correct one.

$\underset{–}{\text{Verification:}}$
L.H.S:
$a+5+(-4)$

$=11+5-4$ $(\because a=11)$

$=\underset{–}{11+5}-4$

$=16-4=12$

R.H.S: $12$

$\therefore$ L.H.S $=$ R.H.S (verified)