Question : What is the value of $x$, if $\frac{1}{2}$ of 20 + $\frac{1}{4}$ of 28 – $\frac{1}{4}$ of $x$ = 10?
Option 1: 21
Option 2: 7
Option 3: 28
Option 4: 10
Correct Answer: 21
Solution :
$\frac{1}{2}$ of 20 + $\frac{1}{4}$ of 28 – $\frac{1}{4}$ of $x$ = 10
⇒ $\frac{1}{2}\times20+\frac{1}{4}\times28-\frac{1}{3}\times x=10$
⇒ $10+7-\frac{x}{3}=10$
⇒ $30+21-x=30$
$\therefore x=21$
Hence, the correct answer is 21.
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