The sum of the present age of a father and tw | vedclass

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

Question

(A) Let the present age of the father be $x$ years and the present age of the son be $y$ years.According to the first condition: $x + 2y = 70$  --- $(

Vedclass · Accepted Answer

Father: $40$ years,Son: $15$ years

Vedclass · Answer

(A) Let the present age of the father be $x$ years and the present age of the son be $y$ years.According to the first condition: $x + 2y = 70$  --- $(1)$According to the second condition: $2x + y = 95$  --- $(2)$From equation $(1)$,we get $x = 70 - 2y$.Substituting this value of $x$ into equation $(2)$:$2(70 - 2y) + y = 95$$140 - 4y + y = 95$$140 - 3y = 95$$-3y = 95 - 140$$-3y = -45$$y = 15$Now,substitute $y = 15$ into $x = 70 - 2y$:$x = 70 - 2(15)$$x = 70 - 30 = 40$Therefore,the father's present age is $40$ years and the son's present age is $15$ years.

The sum of the present age of a father and twice the present age of a son is $70$ years. Also,the sum of twice the present age of father and the present age of son is $95$ years. Find their present ages.

Similar Questions

$x=-1$ and $y=-2$ is one of the solutions of the equation $\ldots \ldots \ldots \ldots$

Given below is a graph showing two lines. Which of the following statements is true about the solution$(s)$ of the pair of equations represented by these lines?

By the graphical method,find whether the following pair of equations are consistent or not. If consistent,solve them.
$x - 2y = 6$
$3x - 6y = 0$

Solve the following pair of linear equations by the method of substitution: $5x - 3y = 1$ and $2x + 5y = 19$.

Solve the following pair of linear equations by the method of elimination: $2x + 5y = 7$ and $4x + 10y = 12$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module