Question

Frederick is working on a number puzzle and discovers that the product of the two base numbers is exactly twice as large as the sum of those same base numbers. Help on this, please?

Answer 1

x*y=2(x+y)

This is an equation representing your word problem. X and Y are the two base numbers, assuming they are different.

Answer 2

Let two base numbers that is any of the digit from [0-9] be x and y.

  It is given that,  the product of the two base numbers is exactly twice as large as the sum of those same base numbers.

→xy=2×(x+y)

There are two variables in the equation , and there is only one equation.So, we have to use Hit and Trial method to evaluate the value of x and y.

 → 0≤ x≤9 and 0≤ y≤9

⇒ Integral Solution of the above equation can be evaluated by drawing the graph  (Drawn the graph using Desmos)

1.⇒ x=4 and , y=4.

2.⇒ x=6 and y=3

3.⇒x=3 and y=6

4.⇒x=0 and y=0