Question

Kanwar is three years older than Anima. Six years ago, Kanwar's age was four times Anima's age. Find the ages of Kanwar and Anima.​

Answer 1

To Find:-

• Find the present ages of Amina and Kanwar.

Given:-

• Let the age of Amina be " x "

• Then the age of Kanwar be " x + 3 "

So,

️ ➭ ( x + 3 - 6 ) = 4 ( x - 6 )

️ ➭ x - 3 = 4x - 24

️ ➭ 4x - x = 24 - 3

️ ➭ 3x = 21

️ ➭ x = 21/3

️ ➭ $\tt \boxed { \: x \: = \: 7 \: }$

So,

️ ➭ Kanwar age is x + 3 = 7 + 3 => 10years

️ ➭ Amina's age is x = 7

Answer 2

$\large\underline{ \underline{ \sf \maltese{ \: Question:- }}}$

• Kanwar is three years older than Anima. Six years ago, Kanwar's age was four times Anima's age. Find the ages of Kanwar and Anima.

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$\large\underline{ \underline{ \sf \maltese{ \: Solution:- }}}$

• $\sf\green{ Let \: the \: Age \: of \: Anima \: be \: \fbox\red{x\: years}}$
• $\sf\green{ Let \: the \: Age \: of \: Kanwar \: be \: \fbox\red{x+3 \: years}}$

Before 6 years:-

• $\sf\green{ Let \: the \: Age \: of Anima \: be \: \fbox\red{x-6 \: years }}$
• $\sf\green{ Let \: the \: Age \: of Anima \: be \: x+3-6 \: = \: \fbox\red{x-3 \: years }}$

According To Question:-

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\: x \: - \: 3 \: = \: 4( \: x \: - \: 6 \: ) }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ x \: - \: 3 \: = \: 4( \: x \: - \: 6 \: ) }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ x \: - \: 3 \: = \: 4x \: - \: 24 }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ x \: - \: 4x \: = \: 3\: - \: 24 }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ -3x \: = \: -21 }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ x \: = \: \frac{ - 21}{ - 3} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ x \: = \: \frac{ \cancel{-} \cancel{21}}{ \cancel{-} \cancel{3}} }}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{x \: = \: 7 }}}$

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Anima's age = x = 7years

Kanwar's age = x+3 = 7+3 = 10 years

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$\bf \therefore \; Anima's\;age = 7years$

$\bf \therefore \; Kanwar's\;age = 10years$

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