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Find two consecutive positive even integers whose sum is 114?
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Find two consecutive positive even integers whose sum is 114?
Identifying the Consecutive Even Integers
To find two consecutive positive even integers whose sum is 114, we can use algebraic expressions to represent the integers.
Let's assume:
- The first even integer be x
- The second even integer be x + 2 (since they are consecutive even integers)
Finding the Sum of the Integers
The sum of these two integers is 114, so we can set up an equation:
x + (x + 2) = 114
Solving the Equation
Combining like terms:
2x + 2 = 114
Subtracting 2 from both sides:
2x = 112
Dividing by 2:
x = 56
Calculating the Integers
Now that we have found the value of x, we can find the two consecutive even integers:
- The first even integer, x = 56
- The second even integer, x + 2 = 56 + 2 = 58
Therefore, the two consecutive positive even integers whose sum is 114 are 56 and 58.
To find two consecutive positive even integers whose sum is 114, we can use algebraic expressions to represent the integers.
Let's assume:
- The first even integer be x
- The second even integer be x + 2 (since they are consecutive even integers)
Finding the Sum of the Integers
The sum of these two integers is 114, so we can set up an equation:
x + (x + 2) = 114
Solving the Equation
Combining like terms:
2x + 2 = 114
Subtracting 2 from both sides:
2x = 112
Dividing by 2:
x = 56
Calculating the Integers
Now that we have found the value of x, we can find the two consecutive even integers:
- The first even integer, x = 56
- The second even integer, x + 2 = 56 + 2 = 58
Therefore, the two consecutive positive even integers whose sum is 114 are 56 and 58.
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Find two consecutive positive even integers whose sum is 114? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find two consecutive positive even integers whose sum is 114? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find two consecutive positive even integers whose sum is 114?.
Find two consecutive positive even integers whose sum is 114? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find two consecutive positive even integers whose sum is 114? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find two consecutive positive even integers whose sum is 114?.
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