Question

Today, Meg's age is 3/4 of Tracy's age. In 5 years, Meg's age will be 4/5 of Tracy's age. How old is Tracy today?

Answer 1

20 yrs

Explanation:

Let Meg's age be x and Tracy's be y.

ATP,

x = 3/4y ...(1)

and,in 5 years,

x + 5 = 4/5(y+5)

=>x+5 = 4y+20/5

=> 25+5x = 4y +20

From (1),By substitution

25 + 15/4y = 4y +20

= > 5 = 4y -15/4y

=> 5 = y/4

= > y = 20 years.