$\text{Grave Diggers}$
↓↓↓
$\text{By Apples}$
$\text{Cách 1:}$
$\text{Ta có:}$ `x/2` $\equiv$ `y/3`, $\text{mà x+y=25}$
$\text{Áp dụng tính chất của dãy tỉ số bằng nhau ta có:}$
`x/2` $\equiv$ `y/3` $\equiv$ `x+y/2+3` $\equiv$ `25/5` $\equiv$ `5`
$\Rightarrow$ `x/2` $\equiv$ `y/3` $\equiv$ `5`
$\Rightarrow$ `x/2` $\equiv$ `5`
$\Rightarrow$ `x = 2.5`
$\Rightarrow$ `x = 10`
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$\Rightarrow$ `y/3` $\equiv$ `5`
$\Rightarrow$ `y = 3.5`
$\Rightarrow$ `x = 15`
$\text{Vậy (x;y)=(10;15)}$
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$\text{Cách 2:}$
$\text{Ta có:}$ `: x/2 = y/3 `
$\Rightarrow$ `x . 3 = y . 2`
$\Rightarrow$ ` x = 2/3 y`
$\Rightarrow$ ` 2/3 y + y = 25`
$\Rightarrow$ ` y . ( 2/3 + 1 ) = 25`
$\Rightarrow$ ` y . 5/3 = 25`
$\Rightarrow$ ` y = 25 : 5/3`
$\Rightarrow$ ` y = 15`
$\Rightarrow$ ` x = 15 . 2/3 = 10`
$\text{Vậy (x;y)=(10;15)}$
