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Find out the correct answer for the unsolved equation based on a certain system
728 - 213 = 2, 549 - 123 = 2, 459 - 164 = ?
  • a)
    1
  • b)
    2
  • c)
    6
  • d)
    5
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Find out the correct answer for the unsolved equation based on a certa...
The logic followed is:
728 - 213 = 2 → 72 ÷ 8 - 21 ÷ 3 = 9 - 7 = 2,
549 - 123 → 54 ÷ 9 - 12 ÷ 3 = 6 - 4 = 2,
Similarly,
459 - 164 → 45 ÷ 9 - 16 ÷ 4 = 5 - 4 = 1.
So, the missing term will be 1.
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Most Upvoted Answer
Find out the correct answer for the unsolved equation based on a certa...
Explanation:
To find the correct answer for the unsolved equation, we need to identify the pattern or rule being followed in the given system of equations.

Pattern:
Let's analyze the given equations and identify the pattern:

Equation 1: 728 - 213 = 2
Equation 2: 549 - 123 = 2
Equation 3: 459 - 164 = ?

In each equation, we are subtracting two numbers and getting the result as 2. To understand the pattern, let's break down the numbers:

Equation 1:
- 728 can be written as 700 + 20 + 8
- 213 can be written as 200 + 10 + 3

Equation 2:
- 549 can be written as 500 + 40 + 9
- 123 can be written as 100 + 20 + 3

Equation 3 (unsolved):
- 459 can be written as 400 + 50 + 9
- 164 can be written as 100 + 60 + 4

Pattern Identified:
From the breakdown of the numbers, we can observe the following pattern:
- The first digit of the first number is multiplied by 100 and added to the second digit of the second number.
- The second digit of the first number is multiplied by 10 and added to the second digit of the second number.
- The third digit of the first number is added to the third digit of the second number.

Applying the Pattern:
Using the identified pattern, let's solve the unsolved equation:

Equation 3:
- 459 - 164
- (400 + 50 + 9) - (100 + 60 + 4)
- (400 - 100) + (50 - 60) + (9 - 4)
- 300 - 10 + 5
- 295

Therefore, the correct answer for the unsolved equation 459 - 164 is 295.

Conclusion:
The correct answer for the unsolved equation 459 - 164 is 295. This answer is obtained by applying the identified pattern in the given system of equations.
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Find out the correct answer for the unsolved equation based on a certain system728 - 213 = 2, 549 - 123 = 2, 459 - 164 = ?a)1b)2c)6d)5Correct answer is option 'A'. Can you explain this answer?
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