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. Answer:

   Let, the present age of Monali be xyrs and that of sonali be yyrs.

   As per condition 1 ie., Sum of the ages of Monali and Sonali is 29 years.

   The equation becomes,

   x+y=29

   As per condition 2 i.e., Monali is younger than Sonali by 3 years.

   The equation becomes,

   x=y−3

   ∴x−y=−3

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2. [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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