# 10 years ago the ratio of ages of maya and santoshi was 7:5 respectively.after 8 years the difference of their ages will be 10 years what is manyas present age?

1
by ekalavyaachanta

2015-04-25T02:40:13+05:30

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Let the present age of  Maya = M + 10,          10 years ago:  M  years
let the present age of Santoshi = S + 10,         10 years ago:  S  yrs

M  :  S =  7 : 5     =>     5 M = 7 S

the difference of their ages is always the same, whether it is 10 yrs ago or 8 yrs ago or at present or 8 yrs in future.    From the above ratio and equation, we know that  Maya is older.      Hence,    M = S + 10

substitute this in the first equation:

5 ( S + 10) = 7 S
2 S = 50    =>      S = 25 yrs

Santhoshi's age = S + 10 = 25 + 10 = 35 years
Maya's age = Santhoshi's age + 10 yrs = 45 years.