Question

If 2 is added to the numerator of a fraction, it reduces to (1
2) and if 1 is subtracted from the
denominator, it reduces to (1
3). Find the fraction.​

Answer 1

answer: x =3 & y =10..

hope this helps...

Answer 2

Given,

• If 2 is added to the numerator of a fraction its reduce to 1/2 .
• If 1 subtracted from the denominator then it reduces to 1/3 .

To Find,

• The fraction

Solution,

⇒ Suppose the numerator be x

And , Suppose the denominator be y

According to the First Condition :-

$\implies \sf{\dfrac{x + 2}{y} = \dfrac{1}{2}}$

$\implies \sf{2x + 4 = y}$

According to the Second Condition :-

$\implies \sf{\dfrac{x}{y - 1} = \dfrac{1}{3}}$

$\implies \sf{ 3x = y - 1 }$

$\implies \sf{3x = 2x + 4 - 1}$

(From First condition the value of y put )

$\implies \sf{3x - 2x = 3}$

$\implies \boxed{\sf{x = 3}}$

Now Put value of x in First Condition :-

$\implies \sf{y = 2x + 4}$

$\implies \sf{y = 2(3) + 4}$

$\implies \sf{y = 6 + 4}$

$\implies \boxed{\sf{ y = 10}}$

Therefore ,

$\boxed{\sf{\bold{\purple{The \ Fraction = \dfrac{3}{10}}}}}$

$\rule{200}2$