Question

The sum of the ages of Rupali and Dipali is 34 years. Rupali is 6 years younger than Dipali. Find their present ages.​

Answer 1

$\textrm{Age of Rupali + Age of Dipali = 34 years}$

$\longrightarrow\rm{(6+x) + x = 34 \:years\quad...\:Considering\:Age\:of\:Dipali = x}$

$\longrightarrow\rm{6+x + x = 34 \:years}\longrightarrow\rm{6+2x = 34 \:years}$

$\longrightarrow\rm{2x = 34 \:years - 6\:years = 28\:years}$

$\longrightarrow\rm{x = 28/2\:years}\longrightarrow\rm{x = 14\:years}$

$\bigstar\textrm{ Hence, Age of Deepali = 14 years \& Age of Rupali = 14 years + 6 years = 20 years}$

Answer 2

Given :

The sum of the ages of Rupali and Deepali is 29 years. Rupali is 3 years younger than Deepali.

To Find :

Their present ages ?

Solution :

Let the Deepali age be 'x'.

Rupali is 3 years younger than Deepali.

The age of Rupali is 'x-3'.

The sum of the ages of Rupali and Deepali is 29 years.

i.e.

$\sf \: x+x-3=29 \\ \\ \sf \dashrightarrow 2x=29+3 \\ \\ \sf \dashrightarrow 2x=32 \\ \\\sf \dashrightarrow x=\frac{32}{2} \\ \\\sf \dashrightarrow \red { x=16}$

The present age of Deepali is 16 years.

The present age of Rupali is 16-3=13 years