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
Answers
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
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