(D) Let the present ages of the four persons be $x_1, x_2, x_3,$ and $x_4$.Five years ago,their ages were $(x_1 - 5), (x_2 - 5), (x_3 - 5),$ and $(x_4

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

(D) Let the present ages of the four persons be $x_1, x_2, x_3,$ and $x_4$.Five years ago,their ages were $(x_1 - 5), (x_2 - 5), (x_3 - 5),$ and $(x_4 - 5)$.According to the problem,the sum of their ages five years ago was $60$ years:$(x_1 - 5) + (x_2 - 5) + (x_3 - 5) + (x_4 - 5) = 60$$(x_1 + x_2 + x_3 + x_4) - 20 = 60$$x_1 + x_2 + x_3 + x_4 = 60 + 20$$x_1 + x_2 + x_3 + x_4 = 80$Thus,the sum of their present ages is $80$ years.

Class 10 Mathematics Pair of Linear Equations in Two Variables Mix Examples - Pair of Linear Equations in Two Variables

Medium

Five years ago,the sum of the ages of four persons was $60$ years. The sum of the present ages of those four persons is $\ldots \ldots \ldots \ldots$ years.

A
$100$
B
$70$
C
$65$
D
$80$

Explore More

Browse All

Question Bank

All Subjects

Class 10 Questions

Class 10

Mathematics Questions

Chapter

Pair of Linear Equations in Two Variables

Subtopic

Mix Examples - Pair of Linear Equations in Two Variables

There are some $25$ paise coins and some $50$ paise coins in a bag. The total number of coins is $150$ and the amount in the bag is Rs. $55$. Find the number of coins of each value in the bag.

Medium

View Solution

Write a pair of linear equations which has the unique solution $x = -1, y = 3$. How many such pairs can you write?

Difficult

View Solution

Solve the following pairs of equations by cross-multiplication method:
$3x - 4y = 17$
$4x - 5y = 21$

Easy

View Solution

In a two-digit number, the digit at the unit's place is $(2x - 1)$ and the digit at the ten's place is $(2x + 1)$. Then, that number is:

Medium

View Solution

Determine,algebraically,the vertices of the triangle formed by the lines $5x - y = 5$,$x + 2y = 1$,and $6x + y = 17$.

Difficult

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Five years ago,the sum of the ages of four persons was $60$ years. The sum of the present ages of those four persons is $\ldots \ldots \ldots \ldots$ years.

Similar Questions

There are some $25$ paise coins and some $50$ paise coins in a bag. The total number of coins is $150$ and the amount in the bag is Rs. $55$. Find the number of coins of each value in the bag.

Write a pair of linear equations which has the unique solution $x = -1, y = 3$. How many such pairs can you write?

Solve the following pairs of equations by cross-multiplication method:$3x - 4y = 17$$4x - 5y = 21$

In a two-digit number, the digit at the unit's place is $(2x - 1)$ and the digit at the ten's place is $(2x + 1)$. Then, that number is:

Determine,algebraically,the vertices of the triangle formed by the lines $5x - y = 5$,$x + 2y = 1$,and $6x + y = 17$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Solve the following pairs of equations by cross-multiplication method:
$3x - 4y = 17$
$4x - 5y = 21$