Question

Ten years ago, Rita's age was 5 years more than that of Geeta. Five years hence,
ratio of their ages will be 10:9. Find their present ages.
​

Answer 1

Answer:

let

Rita's age be x

geeta age be y

10 years ago

Rita age= x-10

geeta age =y-10

now

x-10=y-10+5

x-10=y-5

x-y=5.............................eq...1

five years hence

Rita age=x+5

gita age =y+5

x+5/y+5=10/9

9x-10y=5.......................eq..2

multiplying by 9 in eq ..1

we get

9x-9y=45.......eq...3

from eq 2and eq3 (by subtracting)

we get

y=40

put this value in eq ...3

we get

x =45