Question

The father's age is six times his son's age. Four years hence, the age of the father will be four times his son's age. The present ages ,in years of the son and the father are, respectively​

Answer 1

Answer:

son present age is 6 years and father present age is 36 years .pls follow me and marked me as brainliests

Answer 2

Question:

• The father's age is six times his son's age. Four years hence, the age of the father will be four times his son's age. The present ages in years of the son and the father are respectively.

Answer:

• The present ages of father and his son is 36 and 6 respectively.

Step-by-step Explanation:

Given:

• Age of father is six times age of his son. 
• Four years hence or after four years.
• The age of father will be four times his son's age.

To find:

• Their present ages?

Solution:

❍ So, Let's consider age of his son be x years and father be 6x years.

______________________________________

☆ After four years,

• Age of Son = (x + 4) years
• Age of father = (6x + 4) years

⠀

Now,⠀

$\begin{gathered}\qquad {\color{indigo}{\bigstar}}\: {\underline{\pmb{\frak{{According~to~the~Question~:}}}}}\\\\\\ \qquad :\implies\sf Father's\:age = 4 \bigg(Son's\:age \bigg)\\\\\\ \qquad:\implies\sf 6x + 4 = 4 \bigg(x + 4 \bigg)\\\\\\ \qquad:\implies\sf 6x + 4 = 4x + 16\\\\\\ \qquad:\implies\sf 6x - 4x = 16 - 4\\\\\\ \qquad:\implies \sf 2x = 12\\\\\\ \qquad:\implies\sf x = \cancel{\dfrac{12}{2}}\\\\\\ \qquad:\implies{\underline{\boxed{{\frak{x = 6}}}}}\pink\bigstar\\\\\end{gathered}$

Therefore,⠀⠀

• Age of Son,x = 6 years
• Age of his father, 6x = 36 years

$\\ \therefore\:{\underline{\sf{Hence,\:Present\:Age\:of\:father\:\&\:his\:son\:is\:{\textsf{ \textbf{36}}} \: \sf{and} \: \textsf{\textbf{6\:years}} \: \sf{respectively.}}}}$

Thank you :)

||TheUnkownStar||