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Question (1)

QN0030213

Two numbers have a sum of 25 and a difference of 11. What is the larger of the two numbers?

(A) 7
(B) 11
(C) 18
(D) 25

Correct Answer: C

Explanation:

If x + y = 25 and x − y = 11, adding both equations gives 2x = 36, so x = 18

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Question (2)

QN0030214

Two numbers have a sum of 25 and a difference of 11. What is the smaller of the two numbers?

(A) 5
(B) 7
(C) 9
(D) 14

Correct Answer: B

Explanation:

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Question (3)

QN0030215

Rakesh gives a second puzzle: two numbers whose sum is 25 and difference is −11. What is the first number in this second puzzle?

(A) 18
(B) 11
(C) 7
(D) 25

Correct Answer: C

Explanation:

Swapping the two numbers from the first puzzle gives difference = −11. So first number = 7, second = 18

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Question (4)

QN0030216

Two numbers have a sum of 27 and a difference of 9. What are the two numbers?

(A) 16 and 11
(B) 18 and 9
(C) 15 and 12
(D) 20 and 7

Correct Answer: B

Explanation:

(27 + 9)/2 = 18 and (27 − 9)/2 = 9

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Question (5)

QN0030217

Two numbers have a sum of 4 and a difference of 12. What are the two numbers?

(A) 10 and −6
(B) 8 and −4
(C) 6 and −2
(D) 12 and −8

Correct Answer: B

Explanation:

(4 + 12)/2 = 8 and (4 − 12)/2 = −4

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Question (6)

QN0030218

Two integers have a sum of 0 and a difference of 10. Which of the following is the correct pair (first number, second number)?

(A) (5, −5)
(B) (−5, 5)
(C) (10, 0)
(D) (0, 10)

Correct Answer: A

Explanation:

First − Second = 10 and First + Second = 0 gives First = 5, Second = −5

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Question (7)

QN0030219

Two integers have a sum of 0 and a difference of −10. What are the two numbers (first, second)?

(A) (5, −5)
(B) (0, 10)
(C) (−5, 5)
(D) (−10, 10)

Correct Answer: C

Explanation:

Swapping the pair with sum 0 and difference 10 reverses the sign of the difference

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Question (8)

QN0030220

Two integers have a sum of −7 and a difference of −1. What is the larger of the two integers?

(A) −3
(B) −4
(C) −1
(D) 1

Correct Answer: A

Explanation:

First = (−7 + (−1))/2 = −4 and Second = (−7 − (−1))/2 = −3. Larger = −3

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Question (9)

QN0030221

Two integers have a sum of −7 and a difference of −13. What is the first number?

(A) 3
(B) −3
(C) −10
(D) −7

Correct Answer: C

Explanation:

First = (−7 + (−13))/2 = −20/2 = −10

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Question (10)

QN0030222

In the number puzzle game described in the chapter, the difference is always defined as:

(A) Second number − First number
(B) First number + Second number
(C) First number − Second number
(D) |First number| − |Second number|

Correct Answer: C

Explanation:

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Question (1)

Two numbers have a sum of 25 and a difference of 11. What is the larger of the two numbers?

Explanation:

Link:

Question (2)

Two numbers have a sum of 25 and a difference of 11. What is the smaller of the two numbers?

Explanation:

Link:

Question (3)

Rakesh gives a second puzzle: two numbers whose sum is 25 and difference is −11. What is the first number in this second puzzle?

Explanation:

Link:

Question (4)

Two numbers have a sum of 27 and a difference of 9. What are the two numbers?

Explanation:

Link:

Question (5)

Two numbers have a sum of 4 and a difference of 12. What are the two numbers?

Explanation:

Link:

Question (6)

Two integers have a sum of 0 and a difference of 10. Which of the following is the correct pair (first number, second number)?

Explanation:

Link:

Question (7)

Two integers have a sum of 0 and a difference of −10. What are the two numbers (first, second)?

Explanation:

Link:

Question (8)

Two integers have a sum of −7 and a difference of −1. What is the larger of the two integers?

Explanation:

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Question (9)

Two integers have a sum of −7 and a difference of −13. What is the first number?

Explanation:

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Question (10)

In the number puzzle game described in the chapter, the difference is always defined as:

Explanation:

Link:

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