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Word Problems Involving Two Linear Equations in Two Variables 1
A
B
Result
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Solve each word problem. Choose your answer.

1. The sum of 2 numbers is 32 and their difference is 6. What are the numbers?
18 and 14
19 and 13
20 and 12
none of the choices
Answer: 19 and 13
2. The sum of 2 numbers is 28. One of the numbers is 8 more than the other. What are the numbers?
18 and 10
19 and 9
20 and 8
none of the choices
Answer: 18 and 10
3. The difference between the present ages of Bel and Jerome is 9. The sum of their ages 3 years ago is 55. What are Bel's and Jerome's present ages? Assume that Bel is older than Jerome.
Bel is 37 and Jerome is 28 years old.
Bel is 35 and Jerome is 26 years old.
Bel is 33 and Jerome is 24 years old.
none of the choices
Answer: Bel is 35 and Jerome is 26 years old.
4. The sum of the digits of a two-digit number is 14. The tens digit is 1 less than twice the units digit. What is the number?
95
86
59
none of the choices
Answer: 95
5. Ingrid took a test composed of multiple-choice items and word problems. Each correct answer in the multiple-choice items was given 2 points while the correct answer in each word problem was given 7 points. She was able to answer 20 items correctly. Her total score was 75. How many multiple-choice items did she get correctly?
13 multiple-choice items and 7 word problems
14 multiple-choice items and 6 word problems
15 multiple-choice items and 5 word problems
none of the choices
Answer: 13 multiple-choice items and 7 word problems
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