Question

Kunal is three years older than anima. Six years ago, kunal's age was four times anima's age. find the ages of Kunal and anima.
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Answer 1

Given :

• Kunal is three years older than anima.

• Six years ago, kunal's age was four times anima's age.

To find :

• The ages of Kunal and Anima =?

Step-by-step explanation :

Let, Anima's age be x.

Then, Kunal's age be x + 3.

Now,

Six years ago Kunal's age = (x - 3) - 6

Six years ago Anima's age = 6 - x

According to the question :

➮ (x + 3 - 6) = 4(x - 6)

➮ x - 3 = 4x - 24

➮ x - 4x = - 24 + 3

➮ -3x = - 21

➮ x = - 21 / - 3

➮ x = 7.

Therefore, We get the value of x = 7.

Hence,

The Anima's age, x = 7 years.

The Kunal's age, x + 3 ➮ 7 + 4 = 10 years.

Answer 2

Answer:

Let the Present Age of Anima be n, and Present Age of Kunal be (n + 3).

$\underline{\bigstar\:\textbf{According to the Question :}}$

$:\implies\sf 6\:yrs\:ago\bigg\lgroup Kunal = 4 \:times \:of \:Anima\bigg\rgroup\\\\\\:\implies\sf (Kunal-6\:yrs)=4(Anima-6\:yrs)\\\\\\:\implies\sf (n + 3)- 6 = 4(n - 6)\\\\\\:\implies\sf n - 3 = 4n - 24\\\\\\:\implies\sf 24 - 3 = 4n - n\\\\\\:\implies\sf 21 = 3n\\\\\\:\implies\sf \dfrac{21}{3} = n\\\\\\:\implies\sf n = 7$

$\rule{150}{1}$

$\underline{\bigstar\:\textbf{Present Ages :}}$

$\bullet\:\:\textsf{Anima = n = \textbf{7 yrs}}\\\bullet\:\:\textsf{Kunal = (n + 3) = \textbf{10 yrs}}$