Question

The ages of Rohan and Rohit are in the
ratio 3:7. Five years from now the ratio
of their ages will be 2:3. Find their
present ages.​

Answer 1

$\large{\underline{\underline{\red{\mathcal{→To\:find←}}}}}$

Present age of Rohan and Rohit

$\large{\underline{\underline{\red{\mathcal{→Solution←}}}}}$

Let the present age of Rohan be 3x and Rohit be 7x

According to question

$\implies\sf \frac{3x+5}{7x+5}=\frac{2}{3}$

$\implies\sf 2(7x+5)=3(3x+5)$

$\implies\sf 14x+10=9x+15$

$\implies\sf 14x-9x=15-10$

$\implies\sf 5x=5$

$\implies\sf x=\cancel\frac{5}{5}=1$

Hence, x = 1yrs

$\large{\boxed{\purple{\bf{Rohit\:age\:=3×1\:=3yrs}}}}$

$\large{\boxed{\purple{\bf{Rohan\:age\:=7×1\:=7yrs}}}}$

Answer 2

Answer:

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