Question

If 2 is added to each of tge two given numbers, then their ratio 1:2.However,if 4 is subtracted from each of the given number,the ratio becomes 5:11.find the numbers.

Answer 1

Hello,


Here is your Answer by Sujeet Yaduvanshi,,,


Let to be Numerator x

Let to be Denominator Y


then,

x+2/y+2=1/2 ------(I)


Again.
X-4/y-4=5/11



then,


solving the equation.


2x+4=y+2
2x-y=2-4

2x-y=-2



Again,


11x-44=5y-20

11x-5y=-20+44


11x-5y=24


Solving the equations:-

2x-y=-2 *11
11x-5y=24 *2


22x-11y=-22
22x-10y=48
___________
-y=-70


y=70


then,

2x-y=-2

2x-70=-2

2x=-2+70

2x=68

x=68/2

x=34



that's all

@Sujeet