Question

Let the Present Age be 8n and 7n of Amaan and Farhaan respectively.

\underline{\bigstar\:\textsf{Six Years Later, ATQ :}}
★Six Years Later, ATQ :
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\begin{lgathered}:\implies\sf \dfrac{Amaan+6}{Farhaan+6}=\dfrac{10}{9}\\\\\\:\implies\sf \dfrac{8n + 6}{7n + 6} = \dfrac{10}{9}\\\\\\:\implies\sf (8n + 6) \times 9 = 10 \times (7n + 6)\\\\\\:\implies\sf 72n + 54 = 70n + 60\\\\\\:\implies\sf 72n - 70n = 60 - 54\\\\\\:\implies\sf 2n = 6\\\\\\:\implies\sf n = \dfrac{6}{2}\\\\\\:\implies\sf n = 3\end{lgathered}
:⟹
Farhaan+6
Amaan+6
​
=
9
10
​

:⟹
7n+6
8n+6
​
=
9
10
​

:⟹(8n+6)×9=10×(7n+6)
:⟹72n+54=70n+60
:⟹72n−70n=60−54
:⟹2n=6
:⟹n=
2
6
​

:⟹n=3
​




\underline{\bigstar\:\textsf{Present Ages :}}
★Present Ages :
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\begin{lgathered}\bullet\:\:\textsf{Amaan = 8n = 8(3) = \textbf{24 years}}\\\bullet\:\:\textsf{Farhaan = 7n = 7(3) = \textbf{21 years}}\end{lgathered}
∙Amaan = 8n = 8(3) = 24 years
∙Farhaan = 7n = 7(3) = 21 years
​

Answer 1

Answer:

Explanation:

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