Question

A man is 32 years old and his son is 5 years old. How many years hence will the father's aage be four times that of the son?​

Answer 1

Answer:

20 Years old

Step-by-step explanation:

His son is 5 years old hence his father needs to be 20 years to be four times that of his son

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Answer 2

Answer:

The age of man after 4 years =  36 years

The age of son after 4 years =  9 years

Step-by-step explanation:

$\orange{\ggg} \red{\underline{Question:-}}$

A man is 32 years old and his son is 5 years old. How many years hence will the father's age be four times that of the son?​

$\orange{\ggg}\red{\underline{Solution:-}}$

They given,

The present age of man is = 32 years

The present age of son is = 5 years

Now,

Let the age of man be = $(32 +x)$

Let the age of son be = $(5+x)$

$\bold{After\:'x'\: years \:from\: now\: Father's\:\: age \:will \:be \:4\: times \:the\: age\: of \:the\: Son.}$

Therefore,

$\Rightarrow 4(5+x) = 32+x$

$\Rightarrow 20 + 4x =32+x$

$\Rightarrow 4x-x = 32-20$

$\Rightarrow 3x =12$

$\Rightarrow x = \frac{12}{3}$

$\Rightarrow x = 4$

$\red{:\longrightarrow}\orange{\boxed{x=4}}$

The age of man after 4 years = (32 + 4) = 36 years

The age of son after 4 years = (5 + 4 ) = 9 years

$\red{\mathfrak{Hence,After \: 4 \: years \: the\: man\: age\: will\: be\: 36\: and\: the\: son\: age\: is\: 9\: \: Years}}$