Answer:
The amount that Obi initially had was £20
Step-by-step explanation:
Let
x ----> amount that Obi initially has
y ----> amount that Rudy has
we know that
[tex]\frac{x}{y} =\frac{5}{2}[/tex]
[tex]x=2.5y[/tex] ----> equation A
[tex]x-20=y-8[/tex]
[tex]y=x-20+8[/tex]
[tex]y=x-12[/tex] ----> equation B
Solve the system by substitution
substitute equation A in equation B
[tex]y=(2.5y)-12[/tex]
solve for y
[tex]2.5y-y=12\\1.5y=12\\y=8[/tex]
Find the value of x
[tex]x=2.5(8)=20[/tex]
therefore
The amount that Obi initially had was £20
