Question

Write five pairs of integers (a, b) such that a ÷ b = –4. One such pair is (12, –3) because 12 ÷ (–3) = (–4).

Answer 1

Answer:

a b

20 -5

16 -4

24 -6

28 -7

32 -8

Answer 2

We get the integral pairs as -

(-4, 1), (-8, 2), (-12, 3), (-16, 4), (-20, 5), (-24, 6).

Given,

$\frac{a}{b}$ = - 4

To Find,

Integer pairs (a, b) that satisfy the equation

Solution,

$\frac{a}{b}$ = - 4

a = - 4b

We can find the integral pairs by putting values

Putting 'b' as an integer, we will get 'a' also as an integer

Puttin b = 1 -

a = - 4b

a = - 4(1)

a = - 4

(a, b) = (-4, 1)

Puttin b = 2 -

a = - 4b

a = - 4(2)

a = - 8

(a, b) = (-8, 2)

Puttin b = 3 -

a = - 4b

a = - 4(3)

a = - 12

(a, b) = (-12, 3)

Puttin b = 4 -

a = - 4b

a = - 4(4)

a = - 16

(a, b) = (-16, 4)

Puttin b = 5 -

a = - 4b

a = - 4(5)

a = - 20

(a, b) = (-20, 5)

Puttin b = 6 -

a = - 4b

a = - 4(6)

a = - 24

(a, b) = (-24, 6)

Thus, we get the integral pairs as (-4, 1), (-8, 2), (-12, 3), (-16, 4), (-20, 5), (-24, 6).

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