# The ratio of the age of geeta and har mother is 1:5.after 7 years, the ratio becomes 3:8.what are the present age of geeta and her mother.

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by sunil78

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by sunil78

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then her mother is 5x.

hence x+7/5x+7 = 3/8

3(5x+7)=8(x+7)

15x+21=8x+56

15x-8x=21+56

7x=77

x=77/7

x=11

then geeta's present age=x=11

her mothers age=5x=5*11=55

Afer 7 years ,

Gita's age = x+7 and,

Her mother's age = 5x +7

As per problem,

x+7/5x+7=3/8

or 8(x+7)=3(5x+7)

or 8x+56=15x+21

or 15x-8x=56-21

or 7x =35

or x=35/7

or x=5.

therefore Geeta's present age =x years = 5. years

and Her mother's present age = 5x years = 5×7 = 35 years.