Question

300 is divided into two parts such that half of one part is less than the other by 48. Find the two parts.

• A. 168 and 132
• B. 132 and 123
• C. 300 and 40
• D. 200 and 100

Answer 1

The correct option is A 168 and 132

Let one part of 300 be ‘x’ so other part will be (300-x).
Now, according to the question,
$\frac{1}{2}x=(300-x)-48$
$\Rightarrow \frac{1}{2}x=252-x$
$\Rightarrow 504-2x=x$
$\Rightarrow 3x=504$
$\Rightarrow x=\frac{504}{3}$
$\Rightarrow x=168$
$\therefore$ other part = 300 – 168 = 132.