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

⇝ Given :-

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

Ten years later the sum of their ages will be 45.

⇝ To Find :-

Their Present Ages.

⇝ Solution :-

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

Therefore Let,

Present Age of Arjun = $\rm{2x}$ years

Present Age of Trupti = $\rm{3x}$ years

❒ Ten Years Later :

Age of Arjun = $\rm{(2x+10)}$ years

Age of Trupti = $\rm{(3x+10)}$ years

⏩ According To Question :

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

$:\longmapsto \rm 5x + 20 = 45$

$:\longmapsto \rm 5x = 45 - 20$

$:\longmapsto \rm 5x = 25$

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

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

Therefore,

Their Present Ages are :

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

$\huge\mathtt\red{\textsf{MrUniqueBoi}}$