Answer: 44 years
Step-by-step explanation:
Let Brita's age be x and the daughter's age be y , then from the first statement :
[tex]x - y = 30[/tex]
From the second statement :
[tex]x + y = 118[/tex]
solving the resulting linear equation , add the two equations , we have
[tex]2x = 148[/tex]
[tex]x = 74[/tex]
substitute 74 into equation 1 to find the value of y
[tex]74- y = 30[/tex]
[tex]y = 74 - 30[/tex]
[tex]y = 44[/tex]
Therefore :
Eva = 44 years