Question

Mona's father is thrice as old as mona. after 12
years he will be Just twice his daughter. Find there
Present ages​

Answer 1

$\orange{\mathcal{\underline{\underline{Given:-}}}}$

• Mona's father is thrice as old as Mona
• After 12 years, he (father) will be just twice his daughter

$\pink{\mathcal{\underline{\underline{Required \: To \: find:-}}}}$

• Their Present Ages

$\red{\tt{\underline{\underline{Solution:-}}}}$

Let Mona's Age be x, His Father's Age = 3x

After 12 Years Mona will be = $\sf{(x+12)}$

After 12 Years Father will be = $\sf{(3x+12)}$

A/c To question :

$\sf{2(x +12) = 3x + 12}$

$\sf{2x + 24 = 3x + 12}$

$\sf{3x - 2x = 24 - 12}$

$\sf{x = 12}$

Hence,

$\sf{3x=3×12=36}$

Thus,

$\sf\green{Mona's \: Age=12 \: years}$

$\sf\green{Father's \: Age=36 \: years}$

Answer 2

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

• ( not him , cz Mona is a girl I guess and also it's meñtioned in the Quéstìon that father and daughter lol , but the above añswerer used the word him instead of her jokes apart , let's come back to the solution)

• 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

Note to mods :

• I haven't broken any honour code so if someone reports my answer , out of jealousy , you guys don't need to delete my answer , ptfff....