Question

a man is 4times as old as his son.after four years the man will be thrice as old as his son find their present ages​

Answer 1

▪Given :-

• 》 A man is four times as old as his Son.
• 》After four years the man will be thrice as old as his son.

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▪To Find :-

• The Present Ages of Both.

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▪Solution :-

Let Present age of Son be = x years

So, Present age of Man will be = 4x years

《 After 4 Years 》

Age of Man = (4x + 4) years

Age of Son = (x + 4) years

According to the Given Condition :

$\sf (4x + 4) = 3(x + 4) \\ \\ \sf4x + 4 = 3x + 12 \\ \\ \sf4x - 3x = 12 - 4 \\ \\ \Large \purple{ \implies  \underline {\boxed{{\bf x = 8\: years} }}}$

So ,

$\sf4x = 4\times 8 \\ \\ \Large \purple{ \implies  \underline {\boxed{{\bf 4x = 32 \: years} }}}$

Hence ,

• Present age of Man = 32 years

• Present age of Son = 8 years.

$\Large \red{\mathfrak{  \text{W}hich \:   \: is  \:  \: the  \:  \: required} }\\ \huge \red{\mathfrak{ \text{ A}nswer.}}$

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Answer 2

Let Present age of Son = x years

Present age of Man Must = 4x years (Given)

4 years later Their ages will be---}

Age of Man = (4x + 4) years

Age of Son = (x + 4) years

Given

$(4x + 4) = 3(x + 4) \\ \\ 4x + 4 = 3x + 12 \\ \\4x - 3x = 12 - 4 \\ \\ \large \red{ \implies  \boxed {\boxed{{ x = 8\: years} }}}$

$4x = 4\times 8 \\ \\ \large \red{ \implies  \boxed {\boxed{{ 4x = 32 \: years} }}}$

So

Present age of Son = 8 years.

Present age of Man = 32 years

(♡Which is your Answer♡)