Question

1. 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

Let, the present age of Rupali be xyears and that of dipali be yyears.

As per condition 1 ie., Sum of the ages of rupnali and Dipali is 34 years.

The equation becomes,

x+y=34 ● 1

As per condition 2 i.e., Rupali is younger than Sonali by 6 years.

The equation becomes,

x - y = 6

x = 6 + y ●

substitution x in eq 1

(6 + y) + y = 34

6 + 2y = 34

2y = 28

y = 14

hence dipali's age is 14 years

now rupali's age=

x - y = 6

x - 14 = 6

x = 20

hence dipali's age is 20 years

Answer 2

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

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

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

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

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

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