x is the number of athletes on first team originally ( x > 12, x ∈ Nˣ )
y ----------------------------------------second------------------( y ∈ Nˣ )
The ratio of athletes in the two teams is 3:2
⇒ [tex]\frac{x}{y} =\frac{3}{2}[/tex] (1)
After 12 athletes move from first team to second, the ratio is 5:4
⇒ [tex]\frac{x-12}{y+12} =\frac{5}{4}[/tex] (2)
(1),(2) ⇒ [tex]\left \{ {{\frac{x}{y} =\frac{3}{2}} \atop {\frac{x-12}{y+12} =\frac{5}{4}} \right. <=>\left \{ {{x=162} \atop {y=108}} \right.[/tex]
So: The first team originally has 162 numbers and the second team originally has 108 numbers
ok done. Thank to me :>
