Alright, lets get started.
The ages of all four sisters will be = x, x+2, x+4, x+6
As per given in question, two times of youngest sister age exceeds the oldest sister age by 30 means
[tex]2x - 30 = (x+6)[/tex]
Simplifying the equation
[tex]2x - (x+6) = 30[/tex]
[tex]2x - x - 6 = 30[/tex]
[tex]x = 36[/tex]
So this is the age of youngest sister.
So, age of oldest sister will be [tex]x + 6 = 36 + 6 = 42[/tex]
Hene the age of oldest sister is 42 years. : Answer
Hope it will help :)
