Unknown amount of money

Damian and Denis split an unknown amount in the ratio of 5:4 . Damian got six euros more than Denis. Calculate an unknown amount. Determine how much money got Damian and how Denis.

Correct result:

a =  30
b =  24
x =  54

Solution:

4a=5b
a=6+b
x=a+b

4•a=5•b
a=6+b
x=a+b

4a-5b = 0
a-b = 6
a+b-x = 0

a = 30
b = 24
x = 54

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