SOLUTION: One half the sum of two numbers is equal to one and one half times their difference. twice the larger number exceeda three times the smaller by 12. find the numbers.

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Question 423037: One half the sum of two numbers is equal to one and one half times their difference. twice the larger number exceeda three times the smaller by 12. find the numbers.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

twice the larger number exceeds three times the smaller by 12 

Let x and y represent the smaller and larger number respectivley

Question states***

 (1/2)(x+y) = (3/2)(y-x)  |x+y = 3y - 3x  and 4x = 2y and y = 2x

    2y = 3x + 12

    4x = 3x + 12    |Substituting 2x for y

     x = 12 and y = 24    (y = 2*12)

 

 CHECKING our Answer***

 1/2*36 = 3/2* 12 = 18