Question

The difference of two numbers is 2 an of the product is 41.25.

a. Write an equation representing the product.
b.Find the two numbers

Answer 1

let
x---------------> first number
y--------------> second number

we know that
x-y=2-------------> x=2+y-----------------> equation 1
x*y=41.25------------------> equation 2
substituting 1 in 2

(2+y)*y=41.25-------> y²+2y-41.25=0

using a graph tool----------> to resolve the quadratic equation
see the attached figure

the solution is
y=5.5
x=2+y---------> x=2+5.5---------> x=7.5

Part a)Write an equation representing the product.
the answer Part a) is
x*y=41.25

Part b) Find the two numbers
the answer Part b) is
the numbers are 7.5 and 5.5