Answer:
Eva's age is 44 years
Step-by-step explanation:
Let
x ----> Brita's age
y ----> Eva's age
we know that
The sum or their ages 118
so
[tex]x+y=118[/tex] ----> equation A
The difference in age between Brita and her daughter Eva is 30 years
so
[tex]x-y=30[/tex] ----> equation B
Solve the system by elimination
Adds equation A and equation B
[tex]x+y=118\\x-y=30\\---------\\x+x=118+30\\2x=148\\x=74[/tex]
Find the value of y
substitute the value of x in any equation
[tex]74+y=118\\y=118-74\\y=44[/tex]
therefore
Eva's age is 44 years
