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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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.

Part $I$	Part $II$
$1.$ The solution of $2x - y = 4$ and $3x - 2y = 5$	$a.$ $x = 3, y = 2$
$2.$ The solution of $5x - y = 14$ and $4x - 3y = 9$	$b.$ $x = 3, y = 1$
$3.$ The solution of $4x - 3y = 5$ and $3x - y = 5$	$c.$ $x = 2, y = 1$
$4.$ The solution of $3x - 2y = -1$ and $2x - 5y = -8$	$d.$ $x = 1, y = 2$

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

Similar Questions

Are the following pair of linear equations consistent? Justify your answer.
$2ax + by = a$
$4ax + 2by - 2a = 0$; $a, b \neq 0$

The ratio of the present ages of Rajan and Jay is $3:2$. After five years,the ratio of their ages will be $4:3$. Find the present ages of both.

Solve the following pair of linear equations in two variables using a graph: $4x + y = 7$ and $16x + 4y = 28$.

If $\frac{5}{x}-\frac{4}{y}=4$ and $\frac{4}{x}-\frac{5}{y}=5,$ then $\frac{1}{x}-\frac{1}{y}=\ldots \ldots \ldots \ldots .(x, y \neq 0)$

Vedclass Test Series

Exam Paper Generator

Online Exam Module