Answer:
Let:
- Present age of B be 'x' years.
- Present age of A be ( x + 5 ) years.
[tex] \: [/tex]
5 years ago,
- Age of A = (x + 5) - 5 years = x years.
- Age of B = ( x - 5 ) years.
[tex] \: [/tex]
According to the question,
[tex] \quad [/tex][tex] \quad [/tex][tex] \quad [/tex][tex]{ \large{ \rm{ \frac{x}{x - 5} = \frac{3}{2} }}} [/tex]
[tex]{ \green{ \implies}}{ \sf{2x = 3(x - 5)}}[/tex]
[tex]{ \green{ \implies}}{ \sf{2x = 3x - 15}} [/tex]
[tex]{ \green{ \implies}}{ \sf{3x - 2x = 15}} [/tex]
[tex]{ \green{ \implies}}{ \sf{x = { \boxed{ \pink{15}}}}} [/tex]
[tex] \: [/tex]
Therefore,
Present age of B (x) = 15 years.
Present age of A (x + 5) = 20 years.
