The sum of the ages of Rupali and Dipali is 34 years. Rupali is 6 years younger than

Dipali. Find their present ages.

# The sum of the ages of Rupali and Dipali is 34 years. Rupali is 6 years younger than

### 2 thoughts on “The sum of the ages of Rupali and Dipali is 34 years. Rupali is 6 years younger than<br /> Dipali. Find their present ages.”

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Step-by-step explanation:let the age of rupali be x a d dipali be y

x+y=34

y=x-6

x+x-6=34

2x=40

x=20

y=14

[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]