Question

The denominater of a fraction is 3 more than the numerator. If 2 added to the numerator and 5 is added to the denominator, the fraction becomes ½ . Find the fraction ​

Answer 1

Step-by-step explanation:

ANSWER:-

• Let the Numerator be x.
• So, Let the Denominator be 3x

According To Question:-

$\dfrac{2+ x}{5 + 3x} = \dfrac{1}{2}$

By cross Multiplication,

$2(2 + x) = 5 + 3x$

$4 + 2x = 5 + 3x$

$2x - 3x = 5-4$

$-x = 1$

$x = -1$

So, -1 is the Required answer.

Note:-

• "More than" of any number represents that the number is greater than the opposite number.
• In this case, Multiply or Add as per the sentence provided.
• "Less than" gives an account that the number is less then the provided number.
• So, division or Subtraction is followed Division this case.

Answer 2

Step-by-step explanation:

let the number = x

x/x+3

adding 2 to the numerator and 5 to the denominator

fraction becomes

x+2 / x+3+5 = 1/2

x+2 / x+8 = 1/2

1( x + 8 ) = 2 (x + 2)

x + 8 = 2x + 4

x = 8 - 4

that's, x = 4