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Word Problems Involving Two Linear Equations in Two Variables 3
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Result
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Solve each word problem. Choose your answer.

1. The sum of two numbers is 30. The larger number is 3 more than the smaller number. What are the numbers?
18 and 12
7 1 2 and 22 1 2
14 and 16
none of the choices
Answer: none of the choices; 16 1 2 and 13 1 2
2. There are two numbers such that twice the first number added to thrice the second number equals 5. On the other hand, thrice the first number diminished by 5 times the second number equals –2. What are the two numbers?
1 and 1
2 and 3
8 and 5
none of the choices
Answer: 1 and 1
3. Twice a first number added to thrice a second number results in 31. Thrice the first number added to twice the second number results in 34. What are the numbers?
4 and 3
4 and 11
8 and 5
none of the choices
Answer: 8 and 5
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