Jawaban:
A = 8
Penjelasan dengan langkah-langkah:
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Jika A : B = 2 : 3 dan A + B = 20, maka nilai A adalah?
[tex]\left\{\begin{aligned} A \div B & = 2 \div 3 \\ A + B & = 20\end{aligned} \right.[/tex]
[tex]\left\{\begin{aligned} A \div B = 2 \div 3 \\ A = 20 - B \end{aligned} \right.[/tex]
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→ Subtitusi nilai dari A
[tex](20 - B) \div B = 2 \div 3[/tex]
[tex]3 (20 - B) = 2b[/tex]
[tex]60 - 3B = 2b[/tex]
[tex]- 3B - 2B = - 60[/tex]
[tex] - 5B = - 60[/tex]
[tex] - 5B = - 60 \div (- 5)[/tex]
[tex] B = 12\: \longrightarrow[/tex] Nilai B
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→ Subtitusi nilai dari B
[tex]A = 20 - B[/tex]
[tex]A = 20 - 12[/tex]
[tex]A = 8\:\longrightarrow[/tex] Nilai A
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Kesimpulan
- Nilai A = 8
- Nilai B = 12
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