Question

the fathers age was 5 times his sons age 5 years ago and will be 3times sons age after 2 years.the ratio of their present age is

Answer 1

today's age of
father = 25

son = 5

after two years

ratio will be

27 : 7

Answer 2

Let the son's age be 5 years ago be $\bold{x}$
Thus, father's age will be $\bold{5x}$

After 5 years $\bold{⇒ x +5 = 5x + 5}$

After 2 years $\: \: \: \: \: \: \: \: \: \: \: \: \: \bold{⇒ 3(x+5+2) = 5x + 5 + 2 }$
$\: \: \: \: \: \: \: \: \: \: \: \: \: \bold{⇒ 3x + 15 +6 = 5x + 7 }$
$\: \: \: \: \: \: \: \: \: \: \: \: \:\bold{⇒ 14 = 2x }$
$\: \: \: \: \: \: \: \: \: \: \: \: \: \bold{⇒ x = 7\: years }$

Present age: $\bold{⇒x + 5 = 12 \:and \:5x + 5 =40}$

Now, Ratios:
$\bold{⇒ 40:12 = 20:6 = 10:3}$

Ans: $\bold{\fbox{\red{10:3}}}$