Question

The difference in age between Brita and her daughter Eva is 30 years. The sum or their ages is 118. How old is Eva?

Answer 1

Answer: 44 years

Explanation:

Let Brita's age be x and the daughter's age be y , then from the first statement :

`x - y = 30`

From the second statement :

`x + y = 118`

solving the resulting linear equation , add the two equations , we have

`2x = 148`

`x = 74`

substitute 74 into equation 1 to find the value of y

`74- y = 30`

`y = 74 - 30`

`y = 44`

Therefore :

Eva = 44 years