Question

a fraction is such that numerator is 2 less than the denominator. if you add 3 to the numerator and 5 to the denominator, the resulting fraction is equivalent to the fraction 3/5. find the fraction. pls answer

Answer 1

let the denominator be x
Then, the numerator =x-2
now,
x-2+3/x+5=3/5
=>x+1/x+5=3/5
=>3(x+5)=5(x+1)
=>3x+15=5x+5
=>5x-3x=15-5
=>2x=10
=>x=10/2
So, x=5
numerator =5-2=3
denominator =5
Hence,the fraction =3/5

Answer 2

Solution -  

Let the dinominator be x  

So, the numerator be x - 2

 According to Question,  

x - 2 + 3/x + 5 = 3/5  

⇒ x + 1/x + 5 = 3/5  

⇒ 5(x + 1) = 3(x + 5)  

⇒ 5x + 5 = 3x + 15  

⇒ 5x - 3x = 15 - 5  

⇒ 2x = 10  

⇒ x = 10/2 = 5  

∵ Numerator = x - 2  = 5 - 2 = 3  

∵ Dinominator = x = 5  

∴ The fraction is 3/5  

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