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Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
- a)9
- b)11
- c)13
- d)15
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Three times the first of three consecutive odd integers is 3 more than...
Let the three integers be: x, x + 2 and x + 4.
Then, 3x = 2(x + 4) + 3
Then, 3x = 2(x + 4) + 3
► x = 11.
Third integer = x + 4 = 15.
Most Upvoted Answer
Three times the first of three consecutive odd integers is 3 more than...
Let the three integers be x, x + 2 and x + 4.
Then, 3x = 2(x + 4) + 3
x = 11.
Third integer = x + 4 = 15.
Then, 3x = 2(x + 4) + 3
x = 11.
Third integer = x + 4 = 15.
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Community Answer
Three times the first of three consecutive odd integers is 3 more than...
**Problem Analysis:**
Let's assume the first odd integer to be x. According to the given information:
Three times the first integer = 3x
Twice the third integer = 2(x + 4) [Since the integers are consecutive, the third integer will be x + 4]
**Solution:**
According to the given information:
3x = 2(x + 4) + 3
**Step 1:**
Simplify the expression.
3x = 2x + 8 + 3
3x = 2x + 11
**Step 2:**
Subtract 2x from both sides of the equation to isolate x.
3x - 2x = 2x + 11 - 2x
x = 11
**Step 3:**
The third integer can be calculated by adding 4 to the first integer.
Third Integer = x + 4 = 11 + 4 = 15
Therefore, the third integer is 15.
**Conclusion:**
Thus, option D (15) is the correct answer.
Let's assume the first odd integer to be x. According to the given information:
Three times the first integer = 3x
Twice the third integer = 2(x + 4) [Since the integers are consecutive, the third integer will be x + 4]
**Solution:**
According to the given information:
3x = 2(x + 4) + 3
**Step 1:**
Simplify the expression.
3x = 2x + 8 + 3
3x = 2x + 11
**Step 2:**
Subtract 2x from both sides of the equation to isolate x.
3x - 2x = 2x + 11 - 2x
x = 11
**Step 3:**
The third integer can be calculated by adding 4 to the first integer.
Third Integer = x + 4 = 11 + 4 = 15
Therefore, the third integer is 15.
**Conclusion:**
Thus, option D (15) is the correct answer.
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Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:a)9b)11c)13d)15Correct answer is option 'D'. Can you explain this answer?
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Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:a)9b)11c)13d)15Correct answer is option 'D'. Can you explain this answer? 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 Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:a)9b)11c)13d)15Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:a)9b)11c)13d)15Correct answer is option 'D'. Can you explain this answer?.
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