This article helps you know the information regarding the definitions of addition and subtraction. This web page also helps you to understand the word problems on Addition and subtraction. By going through this article completely you can see the solved word problems on addition and subtraction.

Do refer: Word Problems on 4-Digit Numbers

### Addition

Take two or more numbers and add them together is called Addition.’+’ sign is used to represent the addition. The numbers that are taken for adding are called addends. The result of the Addition is called Sum.

For Example 7+3=10, 4+5=9.

Here in 1st Example, 7, 3 are called addends.

10 is called sum.

In the second example,4,5 are addends.

9 is called Sum.

### Subtraction

Subtraction means finding the difference between two numbers. The ‘-‘ sign is used to represent the subtraction. The parts of subtraction are Minuend, Subtrahend, Difference. The minuend is the number from which the other number is subtracted. The number subtracted from the minuend is called Subtrahend. The result of subtraction is called Difference. For example, 6-2=4.

Here 6 is called Minuend.

2 is called Subtrahend.

4 is called Difference.

### Mixed Addition and Subtraction Word Problems

There are no rules to solve the problem easily, but a systematic approach can help us to solve the problem.

Word problems based on addition are two types.

1. When objects of two or more collections are placed together.

2. Increase in number takes place.

**Example 1: **

Raju has 10 blue color pens and 18 red color pens. How many pens does Raju have?

**Solution:**

number of blue Color pens=10

number of red color pens=18

Total number of pens=10+18=28.

**Example 2:**

Sita has 10 chocolates. Her mother gave her 5 chocolates. How many chocolates does Sita have?

**Solution:**

number of chocolate Sita have=10

Mother given chocolates=5

The total number of chocolates Sita have=10+5=15.

Word Problems based on Subtraction are several types

**Partitioning:Â**given away, taken away, remove.**Reducing:Â**Find out how many have been given away, how much remains.**The inverse of addition:**How much more to be added.**Comparison:**More than/less than.

**Example 3:**

In a godown, there are 1500 rice bags. 600 rice bags are given away for distribution. How many rice bags are there in the godown?

Number of rice bags=1500

Number of rice bags given away=600

Total no of rice bags=1500-600=900.

There are 900 rice bags in the goadown.

**Example 4:**

Rajesh spent 3000 rs on groceries in April month. He spent an extra 1500 more in may month. How much money does he spend in the two months?

**Solution:**

Rajesh spent money in April=3000rs.

Rajesh spent money in may=3000+1500=4500rs.

Rajesh spends money in both the months=3000+4500=7500rs.

**Example 5:**

Solve 1235+(8564-3452).

**Solution:**

The first preference is given to the numbers in the brackets. So subtract 3452 from 8564.

8Â Â Â 5Â Â Â Â 6Â Â Â Â Â 4

-3Â Â Â Â 4Â Â Â Â Â 5Â Â Â Â Â 2

â€”â€”â€“â€”â€”â€“â€”â€”â€“â€”â€”â€“â€”â€”â€“

5Â Â Â Â Â 1Â Â Â Â Â Â 1Â Â Â Â 2

â€”â€”â€“â€”â€”â€“â€”â€”â€“â€”â€”â€“â€”â€”â€“

Now add the number 5112 to 1235.

5Â Â Â 1Â Â Â 1Â Â Â 2

+1Â Â Â 2Â Â Â Â 3Â Â Â 5

â€”â€”â€“â€”â€”â€“â€”â€”â€“â€”â€”â€“â€”â€”â€“

6Â Â Â Â 3Â Â Â Â 4Â Â Â 7

â€”â€”â€“â€”â€”â€“â€”â€”â€“â€”â€”â€“â€”â€”â€“

**Example 6:**

Subtract 1236 from the sum of 5678+3456.

**Solution:**

First, add 5678,3456.

1Â Â Â Â 1Â Â Â 1

5Â Â Â 6Â Â Â 7Â Â Â 8

3Â Â Â 4Â Â Â 5Â Â Â 6

â€”â€”â€“â€”â€”â€“â€”â€”â€“â€”â€”â€“

9Â Â Â Â 1Â Â Â Â 3Â Â Â Â 4

â€”â€”â€“â€”â€”â€“â€”â€”â€“â€”â€”â€“

Now subtract 1236 from 9134.

8Â Â 10Â Â 12

9Â Â Â 1Â Â Â Â 3Â Â Â Â 4

-1Â Â Â 2Â Â Â Â 3Â Â Â 6

â€”â€”â€“â€”â€”â€“â€”â€”â€“â€”â€”â€“â€”â€”â€“

7Â Â Â Â 8Â Â Â Â 9Â Â Â 8

â€”â€”â€“â€”â€”â€“â€”â€”â€“â€”â€”â€“â€”â€”â€“

Start subtracting from one’s place. We can not subtract 6 from 4 so borrow it from tens digit and the tens digit is decreased by 1. Now 14-6=8.Write 8 under units place. We can not subtract 3 from 2 so borrow it from hundreds digit and hundreds digit is decreased by 1.Now 12-3=9. Write 9 under tens place. After borrowing from thousand’s place subtract 2 from 10 and write the digit 8 under hundreds place. Subtract 1 from 8 and write the result under thousands place.

**Example 7:**

Find the number, which is

(i) 3254 greater than 5328.

(ii) 2341 smaller than 7354.

**Solution:**

(i) The number is 3254 more than 5328.

5Â Â 3Â Â 2Â Â Â 8

3Â Â 2Â Â 5Â Â Â 4

Find the number, which is

(i) 1240 greater than 3267.

(ii) 1353 smaller than 5292.

Solution:

(i) The number is 1240 more than 3267

3Â Â 2Â Â Â 6Â Â Â 7

1Â Â Â 2Â Â Â 4Â Â Â 0

Find the number, which is

(i) 1240 greater than 3267.

(ii) 1353 smaller than 5292.

Solution:

(i) The number is 1240 more than 3267

1

3Â Â Â 2Â Â Â 6Â Â Â 7

1Â Â Â 2Â Â Â 4Â Â Â 0

â€”â€”â€“â€”â€”â€“â€”â€”â€“â€”â€”â€“

4Â Â Â Â 5Â Â Â Â 0Â Â Â 7

â€”â€”â€“â€”â€”â€“â€”â€”â€“â€”â€”â€“

Therefore, the number=3267+1240=4507.

(ii) 1353 smaller than 5292.

4Â Â Â 12Â Â Â Â 8Â Â Â 12

5Â Â 2Â Â Â 9Â Â 2

-1Â Â Â 3Â Â Â 5Â Â Â 3

â€”â€”â€“â€”â€”â€“â€”â€”â€“â€”â€”â€“

3Â Â Â 9Â Â Â Â 3Â Â Â 9

â€”â€”â€“â€”â€”â€“â€”â€”â€“â€”â€”â€“

Therefore, the number=5292-1353=3939.

**Example 8:**

In a village, there is a 26000 population. Men areÂ 15968. Find the women population in the village?

**Solution:**

Total population of the village=26000.

Men’s population=15968

Women population=26000-15968=10032.