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=x-26 ( is our first equation)
3. "The sum of their ages is twice the differences of their ages."
Which means: x+y = 2(x-y)
(sum of ages) (Twice diff age)
Solving, we change the "y" in the bottom of step 3 into x-26 and get:
x+y= 2( x-y)
x+(x-26)= 2(x-(x-26))
2x-26= 2(x-x+26)
2x-26= 2(26)
2x-26=52
2x= 52+26
2x=78
x=39
Since y= x-26,
y= 39 -26
y= 13
So Kim's age is 13 and Brian's age is 39
Hope this helps :D
To find Brian's and Kim's ages, let's assign variables to represent their ages.
Let's assume Kim's age as "x" years. Since the problem states that Brian is 26 years older than his daughter Kim, Brian's age would be "x + 26" years.
According to the problem, the sum of their ages is twice the difference in their ages. Mathematically, this can be represented as:
x + (x + 26) = 2(x - (x + 26))
Now, let's solve the equation step by step:
x + x + 26 = 2(x - x - 26)
2x + 26 = 2(-26)
2x + 26 = -52
2x = -52 - 26
2x = -78
x = -78/2
x = -39
The solution for "x" is -39, which means Kim's age is -39. However, this does not make sense since age cannot be negative.
It seems there might be an error in the problem statement or the age of Kim is not provided correctly. Double-check the information or provide additional details to find a valid solution.