Question

The age of a man 3 times the age his son and 5 years his age will be double the age of his son.find the present age of the man

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Answer 1

S O L U T I O N :

Let the present age of son be x years & let the present age of man be 3x years respectively.

A/q

$\underbrace{\bf{5\:years\:later\::}}$

The age of son will be = (x+5) years.

The age of man will be = (3x+5) years.

So,

$\mapsto\tt{(Man's\:age ) = 2(son's\:age)}$

$\mapsto\tt{(3x+5)= 2(x+5)}$

$\mapsto\tt{3x+5= 2x+10}$

$\mapsto\tt{3x -2x=10-5}$

$\mapsto\bf{x=5\:years}$

Thus,

The present age of son will be x = 5 years .

The present age of man will be 3x = 3(5) = 15 years .