Solution of six years hence a father's age will bhi three times his son's age and rhree years ago fah was nine times as old as his son. What is the present age of father ?
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Present age of Son = a
Present age of Father= b
After 6 years
Son's age = a + 6
Father's age = 3(a+6)
b + 6 = 3a + 18
b - 3a = 18 -6
b - 3a = 12 ..................(1)
before 3years
son's age = a - 3
Father's age = 9(a -3)
b - 3 = 9a - 27
9a - b = 27 - 3
9a - b = 24 .....................(2)
(1) + (2)
b - 3a + 9a - b = 12 + 24
6a = 36
a = 6
b - 3a = 12
b = 12 + 18 = 30
Son's present age = 6years
Father's present age = 30years
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answer is 6 and 30.......
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