SOLUTION: the difference between two integer 9 and the ratio of these integers is 4:5. find these integers.

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Question 1052355: the difference between two integer 9 and the ratio of these integers is 4:5. find these integers.
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
set I = one integer
set J = other integer
J - I = 9 so J = 9 + I
I:J = 4:5
I%2FJ=4%2F5
substitute ( 9 + I ) for J
I%2F%28+9+%2B+I+%29=4%2F5
Do cross products
5I = 4 ( 9 + I )
5I = 36 + 4I
add -4I to each side
I = 36
Since J = 9 + I , J = 9 + 36 , J = 45
The integers are 36 and 45