a father and his son decides to sum thier age the sum is equal to sixty years six years from now the son age will be
Answers
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Step-by-step explanation:
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Let : -
Present Age of father = x years
Present age of son = y years
Given : -
Sum of present age of father & son = 60 years
6 years ago , age of father = 5 times age of son
To find :-
Age of son after 6 years
Solution :-
Case 1st :-
Sum of present age = 60
x + y = 60 ----(i)
Case 2nd :-
Age of father , 6 year ago = (x-6)
Age of son, 6 year ago = (y-6)
Now , according to question-
age of father = 5 times age of son
=> (x-6) = 5(y-6)
=> x - 6 = 5y - 30
=> x = 5y - 30 + 6
=> x = 5y - 24 ----(ii)
On putting value of x from equation (ii) into equation 1, we get;
(5y-24) + y = 60
=> 6y = 60+24
=> 6y = 84
=> y = 84 ÷ 6
=> y = 14
Now :-
We need to find age of son after 6 years from now
that is , y + 6
Age of son after 6 years from now = 14 + 6
Age of son after 6 years from now = 20 years