Question

monika's father is four times as old as monika. After 5 years her father will be three times as old as she will be then. find their present age. ​

Answer 1

Answer:

Monika's age = 20 years

Her father's age = 80 years

Explanation:

Given that,

Monika's father is 4 times the age of Monika

If we assume the age of Monika as $x$ years.

Then, Monika's father's age will be $4x$ years.

Now,

After 5 years the age of :-

• Monika = $(x + 5)$ years.
• And also, father = $(4x - 5)$ years.

According to the question,

Her father becomes 3 times as her age by now.

$\therefore \: (4x - 5) = 3(x + 5)$

$\implies \: (4x - 5) = 3(x + 5)$

$\implies \: 4x - 5 = 3x + 15$

$\implies \: 4x - 3x = 15 + 5$

$\implies \: x = 20$

Hence, the age of :-

• Monika = $x$ = 20 years
• Her father = $4x$ = 80 years .

Answer 2

Qᴜᴇᴛɪᴏɴ :

• Monika's father is four times as old as monika. After 5 years her father will be three times as old as she will be then.

Nᴇᴇᴅ Tᴏ Fɪɴᴅ :

• Find their present ages

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:━━━━━━━━━━━━━━━━━━$

❍ Let's assume that Monica's age be ' x '

Therefore,

Monica's age = x

Monica's father age = 4x

After 5 year's

Monica's age = x + 5

Monica's father age = 4x + 5

$\bold{ \underline{According \: to \: condition : }}$

$\begin{gathered} \tt \: : \implies \lgroup \: 4x - 5 \rgroup = 3 \: \lgroup \: x + 5 \rgroup \end{gathered}$

$\begin{gathered} \tt \: : \implies \lgroup \: 4x - 5 \rgroup = \: \lgroup \: 3x + 15 \: \rgroup \end{gathered}$

$\begin{gathered} \tt \: : \implies \: 4x - 3x = 15 + 5 \end{gathered}$

$\begin{gathered} \tt \: : \implies \boxed{ \tt{\underline{\: x = 20}}}\end{gathered}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:━━━━━━━━━━━━━━━━━━$

$\sf{Monica's \: age = 20}$

$\sf{Monica's \: father \: age = 4x = 60}$