Question

The sum of the ages of two persons A and B is 50. 5 years ago, the ratio of their ages was 5/3. The present age of A and B are

30,20 (B) 35,15 (C) 38,12 (D) 40,10

Answer 1

$\textbf{Answer}$

Suppose the age of person A is x years

Since the sum of ages of both persons = 50,

$\textbf{Age of person B = 50-x}$

$\textbf{5 years ago -}$
Age of person A = x-5
Age of person B = 50-x-5 = 45-x

Since 5 years ago,
$\textbf{Ratio of their ages was 5/3,}$

=> (45-x)/(x-5) = 5/3

=> 3(45-x) = 5(x-5)

=> 135 - 3x = 5x - 25

=> 8x = 160

=> $\textbf{x = 20}$

=> $\textbf{50-x = 30}$

$\textbf{Present age of person A is 20 years}$

$\textbf{Present age of person B is 30 years}$

$\textbf{Hope It Helps}$
$\textbf{Thanks}$

Answer 2

Suppose the age of person A is x years

Since the sum of ages of both persons = 50,

\textbf{Age of person B = 50-x}Age of person B = 50-x 

\textbf{5 years ago -}5 years ago - 
Age of person A = x-5
Age of person B = 50-x-5 = 45-x

Since 5 years ago,
\textbf{Ratio of their ages was 5/3,}Ratio of their ages was 5/3, 

=> (45-x)/(x-5) = 5/3

=> 3(45-x) = 5(x-5)

=> 135 - 3x = 5x - 25

=> 8x = 160

=> \textbf{x = 20}x = 20 

=> \textbf{50-x = 30}50-x = 30 

\textbf{Present age of person A is 20 years}Present age of person A is 20 years 

\textbf{Present age of person B is 30 years}Present age of person B is 30 years