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4 consecutive integers are such that when they are taken in descending order and multiplied by 1,2,3,4 respectively,they add up to 100.Find the integers.?
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4 consecutive integers are such that when they are taken in descending...
To find the consecutive integers, let's consider the smallest integer as 'x'. Since we are looking for 4 consecutive integers, the next three integers will be 'x + 1', 'x + 2', and 'x + 3'.
Now, let's write the equation using the given information. When the integers are taken in descending order and multiplied by 1, 2, 3, and 4 respectively, they add up to 100. We can express this mathematically as:
4x + 3(x + 1) + 2(x + 2) + 1(x + 3) = 100
Next, let's solve the equation step by step:
Step 1: Simplify the equation by distributing the terms inside the parentheses:
4x + 3x + 3 + 2x + 4 + x + 3 = 100
Step 2: Combine like terms:
10x + 10 = 100
Step 3: Subtract 10 from both sides of the equation:
10x = 90
Step 4: Divide both sides of the equation by 10:
x = 9
So, the smallest integer is 9. The consecutive integers are 9, 10, 11, and 12.
Thus, the four consecutive integers are 9, 10, 11, and 12.
Now, let's write the equation using the given information. When the integers are taken in descending order and multiplied by 1, 2, 3, and 4 respectively, they add up to 100. We can express this mathematically as:
4x + 3(x + 1) + 2(x + 2) + 1(x + 3) = 100
Next, let's solve the equation step by step:
Step 1: Simplify the equation by distributing the terms inside the parentheses:
4x + 3x + 3 + 2x + 4 + x + 3 = 100
Step 2: Combine like terms:
10x + 10 = 100
Step 3: Subtract 10 from both sides of the equation:
10x = 90
Step 4: Divide both sides of the equation by 10:
x = 9
So, the smallest integer is 9. The consecutive integers are 9, 10, 11, and 12.
Thus, the four consecutive integers are 9, 10, 11, and 12.
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4 consecutive integers are such that when they are taken in descending order and multiplied by 1,2,3,4 respectively,they add up to 100.Find the integers.?
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4 consecutive integers are such that when they are taken in descending order and multiplied by 1,2,3,4 respectively,they add up to 100.Find the integers.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 4 consecutive integers are such that when they are taken in descending order and multiplied by 1,2,3,4 respectively,they add up to 100.Find the integers.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4 consecutive integers are such that when they are taken in descending order and multiplied by 1,2,3,4 respectively,they add up to 100.Find the integers.?.
4 consecutive integers are such that when they are taken in descending order and multiplied by 1,2,3,4 respectively,they add up to 100.Find the integers.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 4 consecutive integers are such that when they are taken in descending order and multiplied by 1,2,3,4 respectively,they add up to 100.Find the integers.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4 consecutive integers are such that when they are taken in descending order and multiplied by 1,2,3,4 respectively,they add up to 100.Find the integers.?.
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