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

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

Answer 2

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

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

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

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

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

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