Combination of Addition and Subtraction
We will discuss here about the combination of addition and
subtraction.
To show the problems involving both addition and
subtraction, we first group all the numbers with ‘+’ and ‘‘ signs. We find the
sum of the numbers with ‘+’ sign and similarly the sum of all the numbers with ‘‘
sign and then find the difference. If there is no sign before a number it means
‘+’ sign.
The rules which can be used to solve the sums involving addition
(+) and subtraction () together are:
I: First add and then subtract,
II: Solve the numbers enclosed in the brackets and then
solve further.
To solve the questions which involve both addition and subtraction, we first add and then subtract the required number from the sum.
1. Let us consider 11 + 26  12.
Step I: First add 11 and 26. The sum of 11 and 26 is 37.
Step II: Now, subtract 12 from 37.
37  12 = 25


Answer: 11 + 26  12 = 25
2. Let us take another example. A shopkeeper has 90 oranges. He sold 51 oranges on Monday and 25 oranges on Tuesday. How many oranges are left with him?

T O

Oranges sold on Monday

5 1

Oranges sold on Tuesday

+ 2 5

Total oranges sold

7 6

Oranges left = Total Oranges  Oranges Sold

T O

Total Oranges

9 0

Oranges Sold

 7 6

Number of Oranges Left

1 4

Solved Example Involving Addition (+) and Subtraction () ogether:
1. Solve 3252  1802 + 2610
Solution:
3 2 5 2
+ 2 6 1 0
5 8 6 2
Now
5 8
6 2

1 8
0 2
4 0
6 0
2. Find the solution to (7259  5369) + 2156
Solution:
6 11 15
7 2 5 9
 5 3 6 9
1 8 9 0
Now
1 1
1 8 9 0
+ 2 1 5 6
4 0 4 6
3. Subtract 4926 from the sum of 3051 and 4257
Solution:
Sum of 3051 and 4257
1
3 0 5 1
+ 4 2 5 7
7 3 0 8
Now, subtract 4926 from 7308
6 12 10
7 3 0 8
 4 9 2 6
2 3 8 2
4. Solve 481 + 356 – 168.
Solution:
Step I: Add the numbers with ‘+’ sign.
Step II: Subtract the number with ‘‘ sign from the sum of
the numbers with ‘+’ sign.
Therefore, 481 + 356 – 168 = 669
Word Problems on Addition and Subtraction Together:
5. Daniel has 478 chocolate cookies and 245 chocolate chip cookies. He distributed 323 cookies among his friends. How many cookies were left with him?
Solution:
Chocolate cookies = 478
Chocolate chip cookies = 245
Step I: Addition
Total number of cookies = 478 + 245 = 753
Cookies Distributed = 323
Step II: Subtraction
Cookies left with Daniel = 753  323 = 430
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