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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