Father and sons

After15 years will father many years as his two sons together now. There is a six-year difference between the brothers, and the older one celebrated fifty years three years ago. How old is their father now?

Correct result:

x =  85

Solution:

x+15 = a+b
a-b = 6
a = 50+3

a+b-x = 15
a-b = 6
a = 53

b = 47
x = 85

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