perbandingan 2 bilangan 3:4 masing masing ditambah 2 menjadi 7:9. Tentukan bilangannya

x : y = 3 : 4
[tex]3y = 4x \\ y = \frac{4x}{3} [/tex]


(x + 2) : (y + 2) = 7 : 9

[tex]7(y + 2) = 9(x + 2) \\ 7y + 14 = 9x + 18 \\ 7y = 9x + 18 - 14 \\ 7y = 9x + 4 \\ 7( \frac{4x}{3} ) = 9x + 4..... \: kalikan \: 3 \\ 7(4x) = 3(9x + 4) \\ 28x = 27x + 12 \\ 28x - 27x = 12 \\ x = 12[/tex]

[tex]y = \frac{4x}{3} = \frac{4(12)}{3} \\ = 16 [/tex]