Question

Kanawar is 3 years older than Anima. Six years ago, Kanawar's age was four times Anima's age. find the ages of Kanawar and Anima.​

Answer 1

$\sf\boxed{\underline{\underline{\huge{\rm{Solution:}}}}}$

$\sf{Let\: Anima's\: age\: be\: x\: years.}$

$\sf{Then,\:Kanwar's \:age\: is\: (x+3)\: years.}$

$\sf{\underline{According\:to\:the\:question,}}$

$\sf{Six\:years \:ago,}$

$\sf{Anima's\: age\: was\: (x-6) \:years\: and}$

$\sf{Kanwar's\:age \:was\:4(x-6)\:years.}$

$\implies x-3=4(x-6)$

$\implies x-3=4x-24$

$\implies x-4x=3-24$

$\implies -3x=-21$

$\implies \dfrac{-3x}{-3}=\dfrac{-21}{-3}$

$\implies x=7$

$\rm{Hence,\red{Anima's\:age =x\: years= 7\:years}}$

$\rm\red{Kanwar's\:age=(x+3)\: years=(7+3) years=10\:years.}$

______________________________________

Answer 2

Hyy Dude ♡

Let the current age of Amina = x years

So, the current age of Kanwar = (x + 3) years

According to the given condition,

• (x + 3 – 6) = 4 (x – 6)

• (x + 3 – 6) = 4 (x – 6)⇒ x – 3 = 4x – 24

• (x + 3 – 6) = 4 (x – 6)⇒ x – 3 = 4x – 24⇒ – 3x = – 21

• (x + 3 – 6) = 4 (x – 6)⇒ x – 3 = 4x – 24⇒ – 3x = – 21⇒ x = 7

Hence, the current age of Amina = 7 years

and the current age of Kanwar = 10 years

Hope it's helps you ✨