Question

The ages of Arjun and Trupti are in the ratio 2:3. Ten years later the sum of their ages will be 45 years. What are their present ages ?​

Answer 1

$\Large {\boxed{\pmb{\bf{\red{Answer :}}}}}$

Current Ages = 10 and 15 years.

Answer 2

⇝ Solution :-

As the ages of Arjun and Trupti are in the ratio 2:3.

Therefore Let,

Present Age of Arjun = 2x years

Present Age of Trupti = 3x years

❒ Ten Years Later :

Age of Arjun = (2x+10)  years

Age of Trupti = (3x+10)  years

⏩ According To Question :

$\begin{gathered} \large \red{ \rm (2x + 10) + (3x + 10) = 45} \\ \end{gathered}$

$\begin{gathered}:\longmapsto \rm 5x + 20 = 45 \\ \end{gathered}$

$\begin{gathered}:\longmapsto \rm 5x = 45 - 20 \\ \end{gathered}0$

$\begin{gathered}:\longmapsto \rm 5x = 25 \\ \end{gathered}$

$\begin{gathered}:\longmapsto \rm x = \cancel \frac{25}{5} \\ \end{gathered}$

$\purple{ \large :\longmapsto  \underline {\boxed{{\bf x = 5} }}}$

Therefore,

Their Present Ages are :

$\begin{gathered}\pink{\begin{cases} \bf Age\:of\:Arjun = 10 \:years \\  \\  \bf Age\:of\:Trupti = 15 \: years\end{cases}}\end{gathered}$

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@MissFrostiLite♡~