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The sum of three consecutive integers is twice the smallest of the integers. Find the integers?
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The sum of three consecutive integers is twice the smallest of the int...
The problem:
The sum of three consecutive integers is twice the smallest of the integers. We are required to find the integers.
Understanding the problem:
Let's assume the first integer as 'x'. Since the integers are consecutive, the second integer will be 'x + 1' and the third integer will be 'x + 2'.
According to the problem, the sum of these three consecutive integers is twice the smallest integer, which can be expressed as:
x + (x + 1) + (x + 2) = 2x
Solving the equation:
To solve the equation, we will follow these steps:
1. Simplify the equation by combining like terms:
3x + 3 = 2x
2. Subtract 2x from both sides of the equation:
3x - 2x + 3 = 0
3. Simplify the equation further:
x + 3 = 0
4. Subtract 3 from both sides of the equation:
x = -3
Interpreting the result:
The first integer is -3. To find the consecutive integers, we can substitute this value into our assumption.
The second integer is -3 + 1 = -2, and the third integer is -3 + 2 = -1.
Final answer:
The three consecutive integers are -3, -2, and -1.
The sum of three consecutive integers is twice the smallest of the integers. We are required to find the integers.
Understanding the problem:
Let's assume the first integer as 'x'. Since the integers are consecutive, the second integer will be 'x + 1' and the third integer will be 'x + 2'.
According to the problem, the sum of these three consecutive integers is twice the smallest integer, which can be expressed as:
x + (x + 1) + (x + 2) = 2x
Solving the equation:
To solve the equation, we will follow these steps:
1. Simplify the equation by combining like terms:
3x + 3 = 2x
2. Subtract 2x from both sides of the equation:
3x - 2x + 3 = 0
3. Simplify the equation further:
x + 3 = 0
4. Subtract 3 from both sides of the equation:
x = -3
Interpreting the result:
The first integer is -3. To find the consecutive integers, we can substitute this value into our assumption.
The second integer is -3 + 1 = -2, and the third integer is -3 + 2 = -1.
Final answer:
The three consecutive integers are -3, -2, and -1.
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The sum of three consecutive integers is twice the smallest of the integers. Find the integers?
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The sum of three consecutive integers is twice the smallest of the integers. Find the integers? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The sum of three consecutive integers is twice the smallest of the integers. Find the integers? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of three consecutive integers is twice the smallest of the integers. Find the integers?.
The sum of three consecutive integers is twice the smallest of the integers. Find the integers? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The sum of three consecutive integers is twice the smallest of the integers. Find the integers? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of three consecutive integers is twice the smallest of the integers. Find the integers?.
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