Question

The ages of four sisters are consecutive even integers. Two times the age of the youngest sister exceeds the oldest sister's age by 30 years. The equation 2x − (x + 6) = 30 models the age, x, of the youngest sister. What is the age of the oldest sister?

Answer 1

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

$2x - 30 = (x+6)$

Simplifying the equation

$2x - (x+6) = 30$

$2x - x - 6 = 30$

$x = 36$

So this is the age of youngest sister.

So, age of oldest sister will be $x + 6 = 36 + 6 = 42$

Hene the age of oldest sister is 42 years.   :  Answer

Hope it will help :)