Question

if the numerator is increased by 5 and denominator is halved then the resulting fraction is 2. Find the equation

Answer 1

Answer: The answer is x + 5 = y.

Step-by-step explanation:  Let the fraction we are looking for be given by

$f=\dfrac{x}{y}.$

If we add 5 to the numerator, then the new numerator will be

$x+5,$

and if we divide the denominator by 2, then the new denominator will be

$\dfrac{y}{2}.$

Therefore, the new fraction will be

$f_n=\dfrac{x+5}{\frac{y}{2}}=\dfrc{2x+10}{y}.$

According to the question,

$f_n=2\\\\\Rightarrow \dfrac{2x+10}{y}=2\\\\\Rightarrow 2x+10=2y\\\\\Rightarrow x+5=y.$

Thus, the required equation is x + 5 = y.

Answer 2

Step-by-step explanation:

f=x/y

X+5

y/2

f = X+5/y/2

f=2

2x+10=2y

dividing both the side by 2

X+5=y