The father's age is six times his son's age. | vedclass

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(C) Let $x$ be the present age of the father and $y$ be the present age of the son in years.According to the first condition,the father's age is six t

Vedclass · Accepted Answer

$6$ and $36$

Vedclass · Answer

(C) Let $x$ be the present age of the father and $y$ be the present age of the son in years.According to the first condition,the father's age is six times the son's age:$x = 6y$  --- $(i)$According to the second condition,four years hence,the father's age will be four times the son's age:$(x + 4) = 4(y + 4)$$x + 4 = 4y + 16$$x - 4y = 12$  --- $(ii)$Substituting the value of $x$ from $(i)$ into $(ii)$:$6y - 4y = 12$$2y = 12$$y = 6$Now,substituting $y = 6$ into $(i)$:$x = 6(6) = 36$Therefore,the present age of the son is $6$ years and the present age of the father is $36$ years.

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

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