Question

Application of linear equation in 2 variables in real life with solutions. Please give correct answers​

Answer 1

Answer:

In real life, the applications of linear equations are vast. To tackle real-life problems using algebra, we convert the given situation into mathematical statements in such a way that it clearly illustrates the relationship between the unknowns

some common applications are-

1. Age problems.
2. Speed, time and distance problems.
3. Geometry problems.
4. Money and percentage of problems.
5. Wages and hourly rate problems.
6. Force and pressure problems.

Ex

Yasir is fifteen years elder than Mujtaba. Five years ago, Yasir was three times as old as Mujtaba. Then Yasir’s present age will be:

ans- Let the age of Yasir be = x years. Then the age of Mujtaba will be equal to x – 15 years. Now let us move on to the second condition. Five years ago the age of Yasir will be equal to x – 5 years. Also, the age of Mujtaba five years ago will be x – 15 – 6 years = x – 21 years. As per the question, we have:

3(x – 21) = x – 5 or 3x – 63 = x – 5. Therefore we have: 2x = 58 and hence x = 29 years.