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

2 thoughts on “The sum of the ages of Rupali and Dipali is 34 years. Rupali is 6 years younger than Dipali. Find their present ages.​”

1. [tex]\textrm{Age of Rupali + Age of Dipali = 34 years}[/tex]

   [tex]\longrightarrow\rm{(6+x) + x = 34 \:years\quad…\:Considering\:Age\:of\:Dipali = x}[/tex]

   [tex]\longrightarrow\rm{6+x + x = 34 \:years}\longrightarrow\rm{6+2x = 34 \:years}[/tex]

   [tex]\longrightarrow\rm{2x = 34 \:years – 6\:years = 28\:years}[/tex]

   [tex]\longrightarrow\rm{x = 28/2\:years}\longrightarrow\rm{x = 14\:years}[/tex]

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

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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.

   [tex] \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}[/tex]

   The present age of Deepali is 16 years.

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

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