Question

The value of $27-59$ is equal to which value among the following options?

• A. $64-32$
• B. $40-7$
• C. $59-27$
• D. $-(56-24)$

Answer 1

The correct option is D $-(56-24)$

$27-59$ can also be written as $-(59-27)$. The value of $59-27$ can be obtained as:


$\therefore \underset{–}{27-59=-(59-27)=-32}$

$\bullet$ Evaluating the value of option (a.): $64-32$


$\therefore \underset{–}{64-32=32}$

$\bullet$ Evaluating the value of option (b.): $40-7$


$\therefore \underset{–}{40-7=33}$

$\bullet$ Evaluating the value of option (c.): $59-27$


$\therefore \underset{–}{59-27=32}$

$\bullet$ Evaluating the value of option (d.): $-(56-24)$


$\therefore \underset{–}{-(56-24)=-32}$

Hence, we see that the value in option (d.) is same as the value of the expression in the question, i.e.,

$27-59=-(56-24)=-32$