Five years ago,the sum of the ages of a fathe | vedclass

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

Question

(C) Let the present ages of the father and the two sons be $F$,$S_1$,and $S_2$ respectively.Five years ago,the sum of their ages was $(F-5) + (S_1-5)

Vedclass · Accepted Answer

$x+30$

Vedclass · Answer

(C) Let the present ages of the father and the two sons be $F$,$S_1$,and $S_2$ respectively.Five years ago,the sum of their ages was $(F-5) + (S_1-5) + (S_2-5) = x$.This simplifies to $F + S_1 + S_2 - 15 = x$,which means the present sum of their ages is $F + S_1 + S_2 = x + 15$.We need to find the sum of their ages after five years from now.The sum after five years will be $(F+5) + (S_1+5) + (S_2+5) = (F + S_1 + S_2) + 15$.Substituting the present sum $(x + 15)$ into this expression:Sum $= (x + 15) + 15 = x + 30$.Therefore,the sum of their ages after five years will be $x + 30$ years.

Five years ago,the sum of the ages of a father and two sons was $x$ years. Then,after five years,the sum of the ages of all will be $\ldots \ldots \ldots$ years.

Similar Questions

Two numbers are in the ratio $5:6$. If $8$ is subtracted from each of the numbers,the ratio becomes $4:5$. Find the numbers.

For which values of $p$ and $q$ will the following pair of linear equations have infinitely many solutions?
$4x + 5y = 2$
$(2p + 7q)x + (p + 8q)y = 2q - p + 1$

In a rectangle,the length is $3$ less than twice its width. The perimeter of the rectangle is $100$. Represent this situation as a pair of linear equations in two variables.

The denominator of a fraction is $6$ more than the numerator. If $1$ is added to the numerator and $3$ is subtracted from the denominator,the fraction becomes $\frac{3}{4}$. Find the fraction.

The solution of $x+y-1=0$ and $2x+2y-2=0$ is ............

Vedclass Test Series

Exam Paper Generator

Online Exam Module