Question

Write down a pair of integers whose: (a) Sum is -3 (b) Sum is 0 (c) Difference is 2 (c) Difference is -5

Answer 1

(i) -5+2=(-3)
(ii) (-1)+1=0
(iii) (-2) - 3 =(-5)

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Answer 2

Find:

The pair of integers whose:

(a) Sum is -3

(b) Sum is 0

(c) Difference is 2

(d) Difference is -5

Solution:

Let the two integers be x and y.

(a) Sum is -3

x + y = -3

y = -3 - x                       ---------------- (i)

For finding the values of x and y, we need to put different values of x in (i).

x                  y

0            -3 - 0 = -3

1             -3 - 1 = -4

2             -3 - 2 = -5

3             -3 - 3 = -6

and so on

Hence, the pairs of integers are (0, -3), (1, -4), (2, -5), (3, -6), -------------

(b) Sum is 0

x + y = 0

y = 0 - x

y = - x                       ---------------- (i)

For finding the values of x and y, we need to put different values of x in (i).

x                  y

0                0

1                 -1

2                -2

3                -3

and so on

Hence, the pairs of integers are (0, 0), (1, -1), (2, -2), (3, -3), -------------

(c) Difference is 2

x - y = 2

y = x - 2                      ---------------- (i)

For finding the values of x and y, we need to put different values of x in (i).

x                  y

0           0 - 2 = -2

1             1 - 2 = -1

2             2 - 2 = 0

3             3 - 2 = 1

and so on

Hence, the pairs of integers are (0, -2), (1, -1), (2, 0), (3, 1), -------------

(d) Difference is -5

x - y = -5

y = x + 5                      ---------------- (i)

For finding the values of x and y, we need to put different values of x in (i).

x                  y

0           0 + 5 = 5

1             1 + 5 = 6

2             2 + 5 = 7

3             3 + 5 = 8

and so on

Hence, the pairs of integers are (0, 5), (1, 6), (2, 7), (3, 8), -------------

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