Linear Equations Questions

Find the value of $x$:
$$0.2x+0.04=0.5x-0.11$$

Find the value of $x$ from the given linear equation:
$$2.75+3.5x=9.25+1.5x$$

The present ages of Prajwal and Lavanya are in the ratio $5:6$ respectively. After $3$ years, the ratio of Prajwal's age to Lavanya's age will be $6:7$. What is Prajwal's present age?

Find the value of $K$ from the given equation:
$$13450+12846-1230-K=23670+987$$

Find the value of $m$:
$$m-\frac{2}{3}=\frac{5}{6}+\frac{1}{2}$$

At present, Ritika’s age is 3 times the age of Vipul. After 7 years, Ritika will be 2 times as old as Vipul. What is the present age of Ritika (in years)?

The average weight of 30 students in a class is 60kg. If the weight of the class teacher is included, the average increases by 0.5kg. The weight (in kg) of the teacher is:

If
x+2
2x
​
+
2x+4
1
​
−
2x
2
+4x
12−x
​
=a+
x
b
​
, where a and b are integers, then the value of ab=_____.

In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. A student attempted all 200 questions and scored 500 marks. What is the number of questions he answered correctly?

Out of the total income, a family saves 15% and the rest of the amount is spent on three types of expenditure – health, education and food in the ratio of 1:2:2. The income is Rs. 300 less than thrice the expenditure incurred on education. What is the difference between the savings and the expenditure incurred on health?

In three containers - yellow, white and black, $120$ marbles are placed. There are twice as many marbles in the white and yellow containers combined as there are in the black container. Also, there are twice as many marbles in the black container as there are in the yellow container. How many marbles are there in the white container?