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The larger of two numbers exceeds three times the smaller number by 4. The sum of twice the larger number and 4 times the smaller number is 58. If x is the smaller number, which equation below determines the correct value of x?
  • a)
    3(2x + 4) + 4x = 58
  • b)
    3(2x - 4) + 3x = 58
  • c)
    2(3x + 4) + 2x = 58
  • d)
    2(3x + 4) + 4x = 58
  • e)
    2(2x - 4) + 4x = 58
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The larger of two numbers exceeds three times the smaller number by 4....
The correct answer is d. A simple way to solve this problem is to let the larger number be y. Therefore, you know that y = 3x + 4, and that 2y + 4x = 58. Substitute 3x + 4 for y in the last equation to arrive at 2(3x + 4) + 4x = 58. This equation allows you to solve for x.
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Community Answer
The larger of two numbers exceeds three times the smaller number by 4....
Given information:
- The larger number exceeds three times the smaller number by 4.
- The sum of twice the larger number and 4 times the smaller number is 58.
- Let x be the smaller number.

Translation of given information into equations:
1. The larger number exceeds three times the smaller number by 4:
- Larger number = 3x + 4

2. The sum of twice the larger number and 4 times the smaller number is 58:
- 2(larger number) + 4(smaller number) = 58
- 2(3x + 4) + 4x = 58
- 6x + 8 + 4x = 58
- 10x + 8 = 58
- 10x = 58 - 8
- 10x = 50
- x = 50/10
- x = 5

Answer:
The correct equation that determines the value of x (the smaller number) is option 'D': 2(3x + 4) = 58.
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The larger of two numbers exceeds three times the smaller number by 4. The sum of twice the larger number and 4 times the smaller number is 58. If x is the smaller number, which equation below determines the correct value of x?a)3(2x + 4) + 4x = 58b)3(2x - 4) + 3x = 58c)2(3x + 4) + 2x = 58d)2(3x + 4) + 4x = 58e)2(2x - 4) + 4x = 58Correct answer is option 'D'. Can you explain this answer?
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The larger of two numbers exceeds three times the smaller number by 4. The sum of twice the larger number and 4 times the smaller number is 58. If x is the smaller number, which equation below determines the correct value of x?a)3(2x + 4) + 4x = 58b)3(2x - 4) + 3x = 58c)2(3x + 4) + 2x = 58d)2(3x + 4) + 4x = 58e)2(2x - 4) + 4x = 58Correct answer is option 'D'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about The larger of two numbers exceeds three times the smaller number by 4. The sum of twice the larger number and 4 times the smaller number is 58. If x is the smaller number, which equation below determines the correct value of x?a)3(2x + 4) + 4x = 58b)3(2x - 4) + 3x = 58c)2(3x + 4) + 2x = 58d)2(3x + 4) + 4x = 58e)2(2x - 4) + 4x = 58Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The larger of two numbers exceeds three times the smaller number by 4. The sum of twice the larger number and 4 times the smaller number is 58. If x is the smaller number, which equation below determines the correct value of x?a)3(2x + 4) + 4x = 58b)3(2x - 4) + 3x = 58c)2(3x + 4) + 2x = 58d)2(3x + 4) + 4x = 58e)2(2x - 4) + 4x = 58Correct answer is option 'D'. Can you explain this answer?.
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