before 15 years a mans age is thrice of s son at present the age of man is twice that of s son then find the age of son
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Hi Mate !!
Let the present age of Son be x
and the present age of Father be y
• Before 15 years their age will be :-
Son's age :- ( x - 15 )
Father's age :- ( y - 15 )
• Before 15 years a mans age is thrice of his son's age
( y - 15 ) = 3 ( x - 15 )
y - 15 = 3x - 45
3x - y - 45 + 15 = 0
3x - y - 30 = 0 .... ( i )
• At present the age of man is twice that of his son.
y = 2x .... ( ii )
Putting value of y from ( ii ) in ( i )
3x - y - 30 = 0
3x - 2x - 30 = 0
x - 30 = 0
x = 30
Putting value of x in ( ii )
y = 2x
y = 2 × 30
y = 60
So, the present age of son is ( x ) :- 30 years
and the present age of Father is ( y ) :- 60 years.
Let the present age of Son be x
and the present age of Father be y
• Before 15 years their age will be :-
Son's age :- ( x - 15 )
Father's age :- ( y - 15 )
• Before 15 years a mans age is thrice of his son's age
( y - 15 ) = 3 ( x - 15 )
y - 15 = 3x - 45
3x - y - 45 + 15 = 0
3x - y - 30 = 0 .... ( i )
• At present the age of man is twice that of his son.
y = 2x .... ( ii )
Putting value of y from ( ii ) in ( i )
3x - y - 30 = 0
3x - 2x - 30 = 0
x - 30 = 0
x = 30
Putting value of x in ( ii )
y = 2x
y = 2 × 30
y = 60
So, the present age of son is ( x ) :- 30 years
and the present age of Father is ( y ) :- 60 years.
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