Question
Find two consecutive integers such that four times the larger is 94 more than three times the smaller
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Answer to a math question Find two consecutive integers such that four times the larger is 94 more than three times the smaller
Neal
4.5105 Answers
1. Let the two consecutive integers be \( x \) and \( x + 1 \).
2. According to the problem, four times the larger integer is 94 more than three times the smaller integer. Therefore, the expression becomes:
4(x + 1) = 3x + 94
3. Distribute and simplify:
4x + 4 = 3x + 94
4. Subtract \( 3x \) from both sides:
x + 4 = 94
5. Subtract 4 from both sides:
x = 90
6. The larger integer is:
x + 1 = 90 + 1 = 91
Answer: The larger integer is 91, so the consecutive integers are 90 and 91.
2. According to the problem, four times the larger integer is 94 more than three times the smaller integer. Therefore, the expression becomes:
3. Distribute and simplify:
4. Subtract \( 3x \) from both sides:
5. Subtract 4 from both sides:
6. The larger integer is:
Answer: The larger integer is 91, so the consecutive integers are 90 and 91.
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