# Worked Examples

Example-1

Identify the rule

(21 â€“ 13) â€“ (15 â€“ 11)
= 8 - 4
= 4

Verify the rule

(16 - 9) - (11 - 7)
= 7 - 4
= 3

Apply the rule

â€‹

(14 â€“ 5) â€“ (9 â€“ 6)
= 9 - 3
= 6

Rule: (c â€“ a) â€“ (d â€“ b) = e
(The rule holds good.)

Example-2

Identify the rule

= 2 + 5 + 7 + 6
= 20

Verify the rule

= 4 + 6 + 9 + 3
= 22

Apply the rule

= 6 + 2 + 3 + 5
= 16

Rule:
The rule holds good.

Example-3
Identify the rule

(8 + 5 + 17 + 12) Ã· 2
= 42 Ã· 2
= 21

Verify the rule

(11 + 9 + 16 + 2) Ã· 2
= 38 Ã· 2
= 19

Apply the rule

(18 + 7+ 15 + 4) Ã· 2
= 44 Ã· 2
= 22

Rule: (a + b + c + d) Ã· 2 = e
The rule holds good.

Example-4

Identify the rule

= 4 + 7
= 11

Verify the rule

= 3 + 7
= 10

Apply the rule

= 9 + 4
= 13

Rule:
The rule holds good.

Example-5

Identify the rule

Verify the rule

Apply the rule

Rule:
The rule holds good.

Example-6

Identify the rule

Verify the rule

Apply the rule

Rule:

The rule holds good.

Example-7

Identify the rule

22 + 62 + 82 + 32
= 4 + 36 + 64 + 9
= 113

Verify the rule

32 +72 + 42 + 52
= 9 + 49 + 16 + 25
= 99

Apply the rule

52 + 92 + 62 + 12
= 25 + 81 + 36 + 1 = 143

Rule: a2 + b2 + c2 + d2 = e

The rule holds good.