# The sum of the ages of Seema and Gaurav is 31 yrs. After 10 yrs, the ratio of their ages will be 8:9. Find their present ages.

2
by chinmayimatt

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by chinmayimatt

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x+y=31

after 10 years

x+10:y+10=8:9

after solving these 2 eqns u will get teh answer as

x=14

and y =17

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S + G = 31 years - eq 1

S+ 10 : G+10 = 8 : 9

9 (S+10) = 8 ( G+10 )

9 S = - 10 + 8 G -- eq 2

Multiply equation 1 by 8 and add to equation 2

17 S = 238

S = 14 years

G = 17 years

S+ 10 : G+10 = 8 : 9

9 (S+10) = 8 ( G+10 )

9 S = - 10 + 8 G -- eq 2

Multiply equation 1 by 8 and add to equation 2

17 S = 238

S = 14 years

G = 17 years