The sum of age of a girl and her mother is 34. The girl is 8older than her mother.how old is her mother'
Let's say the girl's age is x and her mother's age is y.
We are given two pieces of information:
1. The sum of their ages is 34.
So, we can write the equation: x + y = 34.
2. The girl is 8 years older than her mother.
This can be written as: x = y + 8.
Now, we can solve this system of equations using substitution or elimination.
Let's solve by substitution:
Substitute the value of x from the second equation into the first equation:
(y + 8) + y = 34
2y + 8 = 34
2y = 26
y = 26/2
y = 13
Therefore, the mother is 13 years old.