Page 62 - Math Genius C3

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\ 01-Oct-2025 Bharat Arora Proof-10 Reader’s Sign _______________________ Date __________

addition and Subtraction together Example 2: In a village, there are 2135 men and 1987 women. If the population of the

Navya had `2666 in her bank account. She withdrew `1095 in the first month, `996 in village is 8000, how many children are there in the village?
the second month and the rest in the third month. How much money did she withdraw Solution: We can find the number of children either by adding 2135 and 1987 and

in the third month? then subtracting the sum from 8000 or by subtracting 2135 from 8000 and
To know the amount she withdrew in the third month, we add `1095 and `996, and then then 1987 from the difference.

subtract the sum from `2666.
Step 1: Add 1095 and 996. th H t O th H t O th H t O
1 1 1 9 9 17 15
Amount of money she withdrew in the first month = ` 1 0 9 5 7 10 10 10 4 7 5 15
Amount of money she withdrew in the second month = + ` 9 9 6 8 0 0 0 5 8 6 5
Amount of money she withdrew in the two months = ` 2 0 9 1 – 2 1 3 5 – 1 9 8 7
Step 2: Now, subtract `2091 from `2666. th H t O 5 8 6 5 3 8 7 8

5 16
Amount of money she had in her bank account = ` 2 6 6 6 Therefore, the number of children in the village is 3878.
Amount of money she withdrew in the first two months = – ` 2 0 9 1
Amount of money she withdrew in the third month = ` 0 5 7 5 Think Tank Critical Thinking

Thus, she withdrew `575 in the third month. Fill in the missing digits.

Example 1: Solve 4578 – 3795 + 2563 – 1789 1. H t O 2. H t O 3. H t O

Solution: Subtract 3795 from 4578. Then, add 2563 to the difference and subtract 4 7 5 6 6 9
1789 from the sum to get the answer. – 3 5 + 4 1 – 2 1 8
3
th H t O 8 9 9 4 4
th H t O th H t O 12 13
3 14 17 1 1 2 2 3 16 checking Subtraction with addition
4 5 7 8 7 8 3 3 3 4 6
– 3 7 9 5 + 2 5 6 3 – 1 7 8 9 To check subtraction, add the difference to the smaller number (subtrahend). If the sum
0 7 8 3 3 3 4 6 1 5 5 7
is equal to the bigger number that is minuend, then the subtraction is correct.
Alternative Method: We can also solve it by using the steps given below: Example 1: Subtract 512 from 925 and check whether the difference is correct or not.

Step 1: Add the numbers Step 2: Add the numbers Step 3: Subtract the sum obtained
with the (+) signs. with the (–) signs. in step 2 from the sum Solution: Subtraction Checking using addition

th H t O th H t O obtained in step 1. H t O H t O
1 1 1 1 1 1 th H t O 9 2 5 Minuend 4 1 3 Difference
4 5 7 8 3 7 9 5 10 13 – 5 1 2 + 5 1 2 Subtrahend
+ 2 5 6 3 + 1 7 8 9 6 11 14 11 Subtrahend
7 1 4 1 5 5 8 4 7 1 4 1 4 1 3 Difference 9 2 5 Minuend
– 5 5 8 4
1 5 5 7 The sum of the ‘difference’ and the ‘subtrahend’ is equal to the ‘minuend’.
Thus, 4578 – 3795 + 2563 – 1789 = 1557. Thus, the difference is correct.

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