Question

the numerator of a rational number is 2 less than the denominator. If the denominator is increasing by 5 and the numerator by 2, we get the rational number 1/2. Find the rational number

Answer 1

Heya !!!




Let denominator of rational number be X.



Then numerator of rational number = ( X -2)





Rational number = ( X -2)/ ( X )







Denominator is increased by 5 and numerator is increased by 2 then new denominator and numerator = ( X +5) and ( X -2 + 2) = X





Rational number = X / ( X +5)




According to question,




X / X +5 = 1/2




2X = X +5




2X - X = 5


X = 5



Denominator = X = 5



and,


Numerator = X -2 = 5-2 = 3




Rational number = 3/5



★ HOPE IT WILL HELP YOU ★

Answer 2

Hiii. ......friend

The answer is here,

Let the denominator be x. Then the numerator will be x-2.

$= > \: \frac{x - 2}{x}$

If denominator is increased by 5 & numerator by 2.

$= > \: \frac{x - 2 + 2}{x + 5} = \frac{1}{2}$

$= > \: \frac{x}{x + 5} = \frac{1}{2}$

=> 2x =x+5.

=> x=5.

So, The rational number is (x-2)/x.

=> (5-2)/5

=> 3/5.

:-)Hope it helps u.