Given,

• If 2 is added to each of two given numbers then their ratio becomes 1:2.
• If 4 is subtracted from each of the given numbers then the ratio becomes 5:11.

To Find,

• The Number

Solution :

Suppose the First Number be a

And, Suppose the Second Number be b

• If 2 is added to each of two given numbers then their ratio becomes 1:2.

  1) Equation

• If 4 is subtracted from each of the given numbers then the ratio becomes 5:11

║Now Put the Values of b From the Equation First ║

║Now Put the Value of a in First Equation ║

Therefore,

Verified answer

Answer:

let first number is x

and second number is y

according to the question

first equation :

x+2/y+2=1/2

by cross multiply it becomes

2(x+2)=y+2

2x+4=y+2

2x-y+2=0

second equation:

x-4/y-4=5/11

by cross multiply it becomes

11(x-4)=5(y-4)

11x-44=5y-20

11x-5y-24=0

now multiply first equation by 11 and second equation by 2

22x-11y+22=0

22x-10y-48=0

by using eliminating method

-y+70=0

-y=-70

y=70

put y=70 in first equation

2x-70+2=0

2x-68=0

2x=68

x=68/2

x=34

that's the answer

hope so it's helpful