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

Step-by-step 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