Question 680996
Let Arooj's mother's current age = X
Arooj's current age is X-20

Arooj's mother's age in 6 years= X+6
Arooj's age in 6 years= X-20+6

after 6 years the sum of their ages will be 50 years so we add there ages in 6 years and set it equal to 50

X+6+X-20+6=50
combine like terms
2X-8=50
add 8 to both sides
2X=58
divide both sides by 2 to get the variable X by itself
X=29

Arooj's mother is 29 years old
Arooj is X-20=29-20=9   Arooj is 9 years old