Question

The denominator of a fraction is 4 more than twice its numerator. Denominator becomes 12 times the numerator, if both the numerator and the denominator are reduced by 6. Find the fraction.

Answer 1

Answer:
`(6)/(26)`

Explanation:

Given

Denominator is 4 more than twice its numerator

Suppose the numerator is x. So, it follows above condition, fraction becomes

`\Rightarrow (x)/(2x+4)`

If both numerator and denominator are reduced by 6, they become equal

`\Rightarrow 12(x-6)=2x+4-6\\\Rightarrow 12x-72=2x-2\\\Rightarrow 10x=70\\\Rightarrow x=7`

The fraction is

`\Rightarrow (x)/(4x+2)=(6)/(4* 6+2)\\\\\Rightarrow (6)/(26)`