The age of the father is twice the sum of the | vedclass

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

Question

(C) Let the present age of the father be $x$ years and the sum of the present ages of his two children be $S$ years.According to the first condition:

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(C) Let the present age of the father be $x$ years and the sum of the present ages of his two children be $S$ years.According to the first condition: $x = 2S$ ... $(i)$After $20$ years,the father's age will be $(x + 20)$ years.After $20$ years,each child's age increases by $20$ years,so the sum of their ages will be $(S + 20 + 20) = (S + 40)$ years.According to the second condition: $x + 20 = S + 40$Substituting $S = x/2$ from equation $(i)$ into the second condition:$x + 20 = x/2 + 40$$x - x/2 = 40 - 20$$x/2 = 20$$x = 40$Thus,the father's present age is $40$ years.

The age of the father is twice the sum of the ages of his two children. After $20$ years,his age will be equal to the sum of the ages of his children. Find the age of the father (in years).

Similar Questions

For what value of $k,$ do the equations $3x - y + 8 = 0$ and $6x - ky = -16$ represent coincident lines?

One equation of a pair of dependent linear equations is $-5x + 7y = 2$. The second equation can be

$A$ fraction becomes $\frac{4}{5}$ if $1$ is added to both the numerator and the denominator. If $5$ is subtracted from both the numerator and the denominator,it becomes $\frac{1}{2}$. Find the fraction.

Solve the following pair of linear equations:
$x + y = 3.3$
$\frac{0.6}{3x - 2y} = -1$,where $3x - 2y \neq 0$

Do the following equations represent a pair of coincident lines? Justify your answer.
$\frac{x}{2} + y + \frac{2}{5} = 0$
$4x + 8y + \frac{5}{16} = 0$

Vedclass Test Series

Exam Paper Generator

Online Exam Module