# 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
Log in to add a comment

Log in to add a comment

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

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.

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.