Question

Father's age is 24 years more than the son's age.
After 2 years father's age will be twice the son's
age. What is son's present age?
(1) 14 years (2) 18 years (3) 20 years
(4) 22 vears (5 None of these of​

Answer 1

Answer :

Option 4) 22 years

Step-by-step-explanation :

$\bold{\underline{\underline{Assume\::}}}$

Let the -

• Present age of father be "M" years

• Present age of son be "N" years

$\bold{\underline{\underline{Solution\::}}}$

Father's age is 24 more than the son's age.

According to question,

$\implies\:M\:=\:N\:+\:24$ ____ (eq 1)

$\bold{\underline{After\:2\:years}}$

• Age of father = (M + 2) years

• Age of son = (N + 2) years

Afer 2 years, father's age will be twice the sons age.

According to question,

$\implies\:M\:+\:2\:=\:2(N\:+\:2)$

$\implies\:M\:+\:2\:=\:2N\:+\:4$

$\implies\:N\:+\:24\:+\:2\:=\:2N\:+\:4$

[From (eq 1)]

$\implies\:2N\:-\:N\:=\:26\:-\:4$

$\implies\:N\:=\:22$

(Age of son = 22 years)

Substitute value of N in (eq 1)

$\implies\:M\:=\:22\:+\:24$

$\implies\:M\:=\:46$

(Age of father = 46 years)

∴ Present age of son is 22 years.

Answer 2

Answer:

${\bold{\therefore Present\:age\:of\:son=22\:years}}$

${\bold{\underline{SOLUTION-}}}$

• In the given question information given about ages of father and son's and their relation between their ages is given.

• We have to find the present age of son's.

$\underline \bold{Given : } \\ \implies Let \: Age \: of \: Father = x \\ \\ \implies Son's \: Age = y \\ \\ \underline\bold{To \: Find :} \\ \implies Present Age \: of \: Son = ?$

• According to given question :

$\bold{Age \: of \: Father \: is \: 24 \: more \: than \: age \: of \: Son} \\ \implies x = y + 24 - - - - - (1) \\ \\ \bold{After \: 2 \: years : } \\ \implies Age \: of \: Father = (x + 2 )years \\ \implies Age \: of \: Son = (y + 2)years \\ \\ \bold{After \: 2 \: years \: Age \: of \: Father } \\ \bold{become \: twice \:the \: Age \: of \: Son}\\ \implies (x + 2) = 2(y + 2) \\ \\ \bold{Putting \: value \: of \: x \: from \: (1)} \\ \implies y + 24 + 2 = 2y + 4 \\ \\ \implies y - 2y = 4 - 2 - 24 \\ \\ \implies \cancel{- }y = \cancel{-} 22 \\ \\ \bold{\implies y = 22 \: years} \\ \\ \bold{\therefore Present \: Age \: of \: Son \: is \: 22 \: years}$