CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The numerator of a fraction is $$4$$ less than the denominator. If $$1$$ is added to both its numerator and denominator, it becomes $$\cfrac{1}{2}$$. Find the fraction.


Solution

Let the fraction be $$\dfrac{a}{b}$$
Numerator= denominator-$$4$$

$$a=b-4 \Rightarrow b-a=4$$

If $$1$$ added to both numerator and denomator then fraction $$=\dfrac{1}{2}$$
$$\dfrac{a+1}{b+1}=\dfrac{1}{2}$$
$$2a+2=b+1$$

$$2a-b=-1$$
$$(2a-b)+(b-a)=4-1$$

$$a=3  ,  b=7$$

 Fraction$$ = \dfrac{3}{7}$$

Mathematics

Suggest Corrections
thumbs-up
 
1


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image