Answer:
12, 20
Step-by-step explanation:
Let the two numbers be x and y, where x > y
According to the given information:
x + y = 4(x - y)
x + y = 4x - 4y
y + 4y = 4x - x
5y = 3x
[tex] y = \frac{3}{5}x.... (1)[/tex]
Since, one number exceeds the other by 8.
[tex] \implies x = y + 8\\\\
\implies y = x - 8.....(2)\\\\[/tex]
From equations (1) & (2)
[tex]x - 8 = \frac{3}{5} x \\ \\ 5(x - 8) = 3x \\ \\ 5x - 40 = 3x \\ \\ 5x - 3x = 40 \\ \\ 2x = 40 \\ \\ x = \frac{40}{2} \\ \\ \huge \purple{ \boxed{\implies x = 20}} \\ \\ \implies \: y = x - 8 = 20 - 8 \\ \\ \huge \pink{ \boxed{ \implies \: y = 12}}[/tex]
