Posted by Anonymous on Thursday, March 29, 2012 at 9:12pm.
Brian is 26 years oldr than his daughter Kim. The sum of their ages is twice the differences of their ages. Find theri ages.

Algebra  Anonymous, Thursday, March 29, 2012 at 9:50pm
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