SOLUTION: One number is 15 greater than the other number. The product of the two numbers is 286. Assuming both numbers are positive, find the numbers.

Question 803861: One number is 15 greater than the other number. The product of the two numbers is 286. Assuming both numbers are positive, find the numbers.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

let one number be and the other number
if one number is greater than the other number, you have ....eq.1
if the product of the two numbers is , you have .....eq.2
solve the system:
....eq.1....substitute in eq.2
.....eq.2
________________________
.....eq.2

.......factor, write as
......group

solutions:
if =>
if =>

Assuming both numbers are positive, we will use only and calculate
....eq.1

so, your numbers are and

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