Solving Equations with Linear Expressions on One Side and Numbers on the Other Side

Q.

A number exceeds $37684955$ by $3615045$ .What is that number?

Q.

Solve the following equation:

$\frac{x}{3}+1=\frac{7}{15}$

Q.

Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one third of his mother’s present age. What are their present ages?

Q.

$2$ into $2$ is equal to

Q.

The ages of two persons are in ratio 5:7.Eighteen years ago their ages were in the ratio 8:13.Find their present age ?

Q. Please tell the answer
the age of father is 40 years more than that his son. After five years, father's age would be thrice his son's age. Find their present ages
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Q. A sum of ₹500 is in the form of denominations of ₹5 and ₹10. If the total number of notes is 90, find the number of notes of each type.

1. 79, 21
2. 15, 75
3. 70, 20
4. 80, 10

Q.

Sum of 3 consecutive multiples of 6 is 666. Find the multiples

Q. The sum of the ages of John and Mary is 32. Four years ago, John was twice
as old as Mary. Find the present age of each.

Q. The teacher distributes 5 pencils per student. Can you tell how many pencils are needed, given the number of students? (Use s for the number of students.)

Q.

Raju is 19 years younger than his cousin . After five years, their ages will be in ratio 2:3. Find their present ages .

Q.

If a student multiplies $150$ by $16$ instead of $15$, the difference in the product is

1. $240$

2. $16$

3. $150$

4. $15$

Q.

The ages of Leena and Heena are in the ratio $7:5$. Ten years hence, the ratio of their ages will be $9:7$. Find the present ages.

Q.

In the library at Lenape Elementary School, there are $\frac{2}{5}$ as many fiction books as there are nonfiction books.

There are $56$ books in the school library.

How many books are fiction books?

Q.

The ratio between the number of girls to boys is 9:7.if there are 42

More girls than the number of boy's find the number of girls and boys

Q. A is 15 years older than B. Ten years ago, A was four times of B's age. What's are their ages now?

Q.

divide ^{2060 between three people x, y and z such that x gets three-fifth of what y gets and the ratio of the share of y to z is 6:7}

Q. If 15 is added to a number, the result is 69, find the number.​

1. 64
2. 74
3. 58
4. 54

Q.

The age of Madhu is thrice the age of her daughter. Ten years ago the ratio of daughter's age to that of Madhu was 1:7. Find their present ages.

Q.

David cuts a cake into two equal halves. He cuts one half into smaller pieces of equal size. Each of these smaller pieces weighs twenty grams. If he has seven pieces of the cake in all, how heavy is the original cake?

1. 120 grams

2. 240 grams

3. 300 grams

4. 180 grams

Q.

The distance between two milestones is 230 km and two cars start simultaneously from the milestones in opposite directions. The distance between them after three hours is 20 km. If the speed of one car is less than that of other by 10 km/hr, find the speed of each car.

1. 25 km/hr, 40 km/hr

2. 40 km/hr, 50 km/hr

3. 20 km/hr, 40 km/hr

4. 30 km/hr, 40 km/hr

Q. The length of a rectangle is twice its width. If the perimeter of the rectangle is 42 m, then find the area of the rectangle.

1. $98m^2$
2. $224m^2$
3. $108m^2$
4. $63m^2$

Q.

The present ages of rohit and mayank are in the ratio 11:8. Eight years later the sum of their ages will be 54.what are their present ages

Q. Suresh and Ramesh together invested144000 rupees in the ratio 4: 5 and bought a plot of land. After some years they sold it at profit of 20%. What is the profit each of them got?

Q.

In a floral design made from tiles each of dimensions $40cm$ by $60cm$ (See figure), find the ratios of

a) The perimeter of the shaded portion to the perimeter of the whole design.

b) The area of the shaded portion to the area of the unshaded portion.

Q.

If $5$ is added to three times a number, it becomes the same as $7$ is subtracted from four times the same number. This fact can be represented as ____

Q. Ravi's mother is 33 years old. She is 3 years older than three times Ravi's age. Then, Ravi's age is .

1. 7 years
2. 10 years
3. 13 years

Q.

The perimeter of a rectangular swimming pool is 64m. If its length and breadth are in the ratio of 5 : 3, find the length of the pool.

1. 10

2. 20

3. 30

4. 40

Q.

If the sum of three consecutive multiples of 4 is 444, then the multiples are 144, 148, 152.

1. 100, 104, 108

2. 144, 148, 152

Q.

If 2a - 3 = 5 , then find the value of "a".

1. - 3

2. 4

3. 7

4. - 9