Question

James is solving a number puzzple that involves three integers, a,b, and c, where, c is a positive integer.The product of a and b is 6.The product of a and c is -4.The product of b and cis -6.

Answer 1

a = -2

b = -3

c = 2

Explanation:

a*b = 6 {The product of a and b is 6]

a*c = -4 [The product of a and c is -4]

b*c = -6 [The product of b and c is -6]

- Rearrange:

1) a*c = -4 to a = (-4/c)

2) b*c = -6 to b = (-6/c)

Now substitute:

a*b = 6

(-4/c)*(-6/c) = 6

(24/c^2) = 6

c^2 = (24/6)

c^2 = 4

c = 2

use this value of c to find a and b:

a = (-4/c)

a = (-4/2)

a = -2

b = (-6/c)

b = (-6/2)

b = -3