Question

present age of father is 6 times that of his son.After 12 years father's age will be 3 times that of his son.find the present age of his son
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Answer 1

Answer:

8 years

hope it will help you

Answer 2

$\mathfrak{\large{\underline{\underline{Answer: }}}}$

Son is 8 years old and father is 48 years old.

$\mathfrak{\large{\underline{\underline{Step-by-step \:explanation:}}}}$

$\textsf{\underline{\underline{Given :}}}$

Present age of father = 6 times that of his son

After 12 years = father's age will be 3 times of his son

$\textsf{\underline{\underline{To find :}}}$

Son's present age

$\textsf{\underline{\underline{Solution : }}}$

$\textbf{\small{\underline{Let the present ages be - }}}$

• Son as x
• Father as 6x

$\textbf{\small{\underline{Ages after 12 years - }}}$

• Son = (x + 12)
• Father = (6x + 12)

$\rule{300}{1.5}$

$\textbf{\small{\underline{According to the Question - }}}$

After 12 years = father's age will be 3 times of his son

$\rm{\implies} \: (6x + 12) = 3(x + 12) \\ \rm{\implies} \: 6x + 12 = 3x + 36 \\ \rm{\implies} \: 6x - 3x = 36 - 12 \\ \rm{\implies} \: 3x = 24 \\ \rm{\implies} \: x = \frac{24}{3} \\ \rm{\implies} \: x = 8$

Son's age = 8 years old

$\rule{300}{1.5}$

★ Value of 6x

$\rm{\implies} \: 6(8) \\ \rm{\implies} \: 48$

Father is 48 years old.

$\therefore$ Son is 8 years old and father is 48 years old.

$\rule{300}{1.5}$

$\mathfrak{\large{\underline{\underline{Verification :}}}}$

Ages after 12 years -

• Son = 8 + 12 = 20
• Father = 48 + 12 = 60

Father turns thrice the age of his son after 12 years, hence the answer is correct.

$\therefore$ Son is 8 years old and father is 48 years old.