Question

Mona's father's age is thrice as mona and after 12 years , he would be twice age of mona , find the present age of mona and her father

Answer 1

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Answer :

Mona is 12 years old and her father is 36 years old at present

Solution :

Given , Mona's father is thrice as old as Mona ---(i)

Also given , after 12 years he will be twice old as Mona----(ii)

Lets introduce some variables :

Case -1 :

Let Mona's present age be x ---(a)

According to statement (i) , Mona's father age = 3x ---(b)

So , present age of Mona's father = 3x

After ,12 years , Mona's father's age = 3x+12---(c)

Case -2 :

Mona's age = x + 12

Mona's father's age = 2(x+12) ( since given in statement (ii) that Mona's father is twice age of her

So , Mona's father's age after 12 years is 2(x+12)----(d)

Equations (c) and (d) are same , because the are the ages of Mona's father after 12 years so let's equate them

3x + 12 = 2(x+12)

3x + 12 = 2x + 24

x = 12

Statement (i)=> x = present age of Mona

Present age of Mona = 12 years

Statement (ii)=> present age of Mona's father = 3x

Present age of Mona's father = 3(12) = 36 years

Answer 2

Answer:

present age of mona is 12

Explanation:

let mona's present age be x

than her fathers present age is 3x.....(.statement 1)

12 years later ,

Mona's age is x +12

then her fathers age is 2(x+12).....(statement 2)

comparing statement 1 and 2

3x+12 =2(x+12)

3x +12=2x+24

×=12

so, her present age ( ie x )is 12 yes