Algebra
posted by Anonymous on .
Brian is 26 years oldr than his daughter Kim. The sum of their ages is twice the differences of their ages. Find theri ages.

1. Lets set
Brian's age= x
Kim's age =y
2."Brian is 26 years oldr than his daughter Kim."
So, if Brian was 26 years younger, thier age would be equal:
y=x26 ( is our first equation)
3. "The sum of their ages is twice the differences of their ages."
Which means: x+y = 2(xy)
(sum of ages) (Twice diff age)
Solving, we change the "y" in the bottom of step 3 into x26 and get:
x+y= 2( xy)
x+(x26)= 2(x(x26))
2x26= 2(xx+26)
2x26= 2(26)
2x26=52
2x= 52+26
2x=78
x=39
Since y= x26,
y= 39 26
y= 13
So Kim's age is 13 and Brian's age is 39
Hope this helps :D