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A man is twice as old as his son. Twelve years ago, the man

was 3 times as old as his son. How old are the father and son
today?

User Stephu
by
7.7k points

2 Answers

5 votes

Explanation:


\underline{ \underline{ \text{Solution}}} :

Let the present age of father be ' x ' years and that of the son be ' y ' years. From the first condition ,

  • x = 2y ••••••• equation ( i )

From the second condition ,

  • x - 12 = 3 ( y - 12 ) ••••• equation ( ii )

Substituting the value of x from equation ( i ) in equation ( ii ) :


\sf{2y - 12 = 3(y - 12)}

Solve for y ( age of the son ) :


\sf{2y - 12 = 3y - 36}


\sf{2y - 3y = - 36 + 12}


\sf{ - y = - 24}


\sf{y = 24}

Now , Substituting the value of y in equation ( i ) , we get :


\sf{x = 2 * 24}


\sf{x = 48}

So, the present age of the father is 48 years and that of the son is 24 years.

Hope I helped ! ツ

Have a wonderful day / night ♡

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User Enoktate
by
7.4k points
10 votes

Answer:

Son's age = 24 years

Man's age = 48 years

Explanation:

Let's take the age of son as x

Man's age = 2x

Twelve years ago,

Son's age= x-12

Man's age= 2x-12

Man is three times as old as his son so,


(2x - 12)/(x - 12 ) = (3)/(1)

Solving for x,

2x-12(1) = x-12(3)

2x-12 = 3x-36

2x-3x = -36+12

-x = - 24

x = 24

So if we substitute the values we get,

Son's age = 24 years

Man's age = 48 years

Hope you understand :)

User Hamid Parchami
by
8.0k points

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