Question

write two numbers that multiply to the value on top and add to the value on bottom.
81
×
□ □
+
18

Explanation:

Step1: Define variables

Let the two numbers be \( x \) and \( y \). We know that \( x \times y = 81 \) and \( x + y = 18 \).

Step2: Solve the system

From the second equation, \( y = 18 - x \). Substitute into the first equation: \( x(18 - x)=81 \).
Expand: \( 18x - x^2 = 81 \). Rearrange: \( x^2 - 18x + 81 = 0 \).
Factor: \( (x - 9)^2 = 0 \). So \( x = 9 \), then \( y = 18 - 9 = 9 \).

Answer:

9 and 9