Solving Equations Algebraically

Q.

After reading 7 by 9 of a book, 40 pages are left.How many pages are there in the book?

Q. Question 11
Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of each one of them?

Q.

In a school 3/7 of the students are girls. If there are 240 boys, find the numbers of girls in the school.

Q.

Perimeter of a rectangle is 240cm. If it's length is decreased by 10% and it's breadth is increased by 20% we get the same perimeter. Find original length and breadth of rectangle.

Q.

A student has got the following scores in his tests: 87, 95, 76, and 88. He wants average of 85 or better overall. What is the minimum score he must get on the last test in order to achieve that average?

1. 79

2. 100

3. 60

4. 82

Q.

$1200$ soldiers in a fort had enough food for $28$ days . After $4$ days , some soldiers were transferred to another fort and thus the food lasted now for $32$ days more . How many soldiers were left in the fort?

Q.

Nine persons went to a hotel for taking their meals. Eight of them spent $Rs.12$ each over their meals and the ninth spent $Rs.8$ more than the average expenditure of all the nine. What was the total money spent by them?

Q.

The distance between two stations is 340 km. Two trains start simultaneously from these stations on parallel tracks to cross each other. The speed of one of them is greater than that of the other by 5 km/hr. If the distance between the two trains after 2 hours of their start is 30 km, find the speed of each train.

Q. The sum of three consecutive even numbers is 36. What are the numbers?

1. 10, 12, 14
2. 12, 14, 16
3. 5, 6, 7
4. 14, 15, 16

Q.

In a school 5/8 of the total students are girls. If the number of girls is 120 more than that of the boys , what is the strength of the school ? How many boys are there ?

Q. There are few adult and children in a restaurant. If 3/8 of the people in the restaurant are adults and there are 90 more children than the adult then how many children are there in the restaurant?

Q.

Ram donated $\frac{1}{10}$ of his salary to an orphanage, $\frac{1}{3}$ of his salary spent on food, $\frac{1}{4}$ of salary on rent and electricity and $\frac{1}{20}$ of his salary on telephone. This month he donated ₹5000 in Prime Minister relief fund . He was left with ₹3000 with him, find his monthly salary.

Q. A can do 2/3 of a certain work in 16 days and B can do1/4of the same work in 3days . In how many days can both finish the work , working together

Q. A motorboat covers a certain distance downstream in a river in 5hours. It covers the same distance upstream in 5 and a half hours. The speed of the water us 1.5km/hr. Find the speed if the boat in still water.

Q. A fruit vendor buy some oranges @ rupees 5 per Orange. he also buys an equal number of Bananas at the rate of 2 per banana. he also makes up 20% profit on oranges and a 15 percentage on bananas on us at the end of the day all the fruits is sold out he is total profit is rupees 390 find the number of oranges purchased.

Q.

A bag contains one rupee, 50p coins, 25p coins in the ratio 5:6:8 amounting to rupess 210. Find number of coins of each type.

Q.

A can complete a work in 12 days.A and B both can finish same work in 4 days.B alone can complete the work in

Q. A man is 42 years old and his son is 12 years old.In how many
years will the age of the son be half the age of the man at that time.

Q.

Chandani purchased some parrots. $20\%$ flew away and $5\%$ died. Of the remaining, $45\%$ were sold. Now, $33$ parrots remain. How many parrots had Chandani purchased?

Q. Calculate the mean for:
Class interval=10-14, 15-19, 20-24, 25-29, 30-34
Frequency=2, 3, 5, 3, 2

Q.

Solve the following:

$\frac{5x}{2x–1}=2$

Q.

The ages of Rahul and Laxmi are in the ratio 5:7. Four years later, the sum of their ages will be 56 years. What are their present ages

Q. The length of rectangle is twice it's width. If it's perimeter is 54 cm , find it's length

Q.

In a quiz program the correct answer gets you 2 marks. For each wrong answer, one mark is deducted from the total score. There are 50 questions to be answered. If Preeti scored 76 marks for the quiz, how many of her questions were right?

Note: Preeti attempted all the 50 questions

1. $26$

2. $13$

3. $42$

4. $38$

Q.

A garrison of $900$ men had provisions for $42$ days. However, reinforcement of $500$ men arrived. For how many days will the food last now?

Q.

The ratio of Reema age to Seema age is 6:7.After 12 years their ratio is 12:15.Find the present age

Q. The ages(in years) of Ram and Shyam are in the ration 5:7. If Ram is 9 years older and Shyam is 9 years younger, the age of Ram would have been twice the age of Shyam. Find their ages

Q.

If $(2x+3{)}^2+(2x-3{)}^2=(8x+6)(x-1)+22$, then the value of '$x$' is

1. 4
2. 5
3. - 1
4. 3

Q.

A sum of money is to be distributed among A, B, C, D in the ratio of 5:2:4:3. If C gets Rs1000more than December what is B's share?

Q.

Three containers have their volumes in ratio 3:4:5. They are full of mixtures of milk and water in the ratio of (4:1), (3:1) and (5:2) respectively . The ratio of milk and water in the fourth container contains all the above three mixtures is=

Options....

(1.)4:1. (2.)151:48

(3.)157:53. (4.)5:2