71
Identify the variables:
x = 1st number
y = 2nd number
Write two equations for them from the worded question:
xy = 56 [1]
x+y = -15 [2]
Rewrite y in terms of x
y = -15-x [3]
Substitute [3] into [1]
x(-15-x) = 56
Expand
-15x-x^2 = 56
Add 15x and x^2 to both sides
x^2+15x+56 = 0
Factorise
(x+7)(x+8) = 0
x = -8 or -7
Substitute x values into 3rd equation for y
When x=-8, y = -15-(-8)
y = -7
When x = -7, y = -15-(-7)
y = -8
So the numbers are either
x = -8, y = -7
OR
x = -7, y = -8
3 & 15
The two numbers are 8 and 15
15 and 3
The numbers are: 3 and 12
They're 5 and 15.
3 & 15
The two numbers are 8 and 15
3 and 12
12 and 3
15 and 3
The numbers are: 3 and 12
Zero and 15.
They're 5 and 15.
The two numbers with the sum of 15 and the product of 56 are: 7 + 8 = 15 7 x 8 = 56
127
15 and 2
3 and 5