Question

10 times the numerator exceeds 5 times the denominator by 30. The equation satisfying the statement is

• A. 10x – 5y = 30
• B. 10y-5x = 30
• C. Both (a) and (b)
• D. None of these

Answer 1

The correct option is C

Both (a) and (b)

Let the numerator of a fraction be $x$ and denominator be $y.$

10 times the numerator $\left(10x\right)$ exceeds 5 times denominator $\left(5y\right)$ by 30

$\Rightarrow (10x-5y=30)$

If we interchange the numerator and denominator as $y$ and $x$ resp then

The equation is $10y–5x=30$

$\therefore$ Both A and B are correct solutions.