# Algebra

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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 -

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

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