Linear Equations Questions with Solutions
A linear equation is an equation in which each variable appears only to the first power, such as 3x + 2y = 12. This topic covers solving equations in one variable, solving pairs of equations in two variables by substitution or elimination, conditions for unique, infinite or no solutions, and turning word problems into equations. Typical word problems involve ages, numbers and their digits, ticket and fruit prices, and fractions. The most important skill is translating the sentence correctly into an equation. In multiple-choice questions, substituting the answer options back into the equations is often faster than solving from scratch. Practise the linear equation questions below. Each solution shows how to form the equation from the question and solve it step by step.
- Q21.
A dealer sells half of the eggs that he has and another half an egg to Anurag. Then he sells half of the balance eggs and another half an egg to Deepak. Then he sells half of the balance eggs and another half an egg to Sivani. In the end he is left with just 7 eggs and he claims that he never broke an egg. How many eggs did he start with?
A. 65B. 63C. 67D. 69mediumAsked in NIMCET 2019View solution › - Q22.
In which year was Arjun born? Arjun at present is 25 years younger than his mother. Arjun's brother, who was born in 1964, is 35 years younger than his mother.
A. 1974B. 1964C. 1944D. 1954easyAsked in NIMCET 2024View solution › - Q23.
Ten years ago, Ram was twice as old as Shyam. Ten years from now, the ratio of their ages will be 3 : 2. What is Ram's present age?
A. 60B. 40C. 70D. 50easyAsked in NIMCET 2025View solution ›