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Lima tahun lalu, usia Putri \( k \) kali usia Lala. Tahun ini, jika usia Putri 19 tahun, maka usia Lala adalah... Select one: a. \( 14 k-5 \) b. \( \frac{14}{k} \) c. \( 14 k+5 \) d. \( \frac{14}{k}+5 \) e. \( \frac{14}{k}-5 \)

Ask by Watkins Willis. in Indonesia
Mar 09,2025

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Tutor-Verified Answer

Answer

Lala's age this year is \( \frac{14}{k} + 5 \), so the correct choice is d.

Solution

We are given that five years ago, Putri's age was \( k \) times Lala's age, and that Putri is 19 years old this year. - Five years ago, Putri's age was: \[ 19 - 5 = 14 \] - Let \( x \) be Lala's age this year. Then, five years ago, Lala's age was: \[ x - 5 \] - According to the problem: \[ 14 = k (x - 5) \] - Solving for \( x \): \[ x - 5 = \frac{14}{k} \quad \Rightarrow \quad x = \frac{14}{k} + 5 \] Thus, Lala's age this year is: \[ \frac{14}{k} + 5 \] The correct answer is option d.

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Mari kita analisis masalah ini! Lima tahun yang lalu, jika usia Putri adalah \( 19 - 1 = 14 \) (karena ditanya tahun ini), maka usia Lala lima tahun lalu bisa kita sebut \( x \). Dari pernyataan, diketahui bahwa \( 14 = k \cdot x \). Jadi, \( x = \frac{14}{k} \). Tahun ini, usia Lala adalah \( x + 5 = \frac{14}{k} + 5 \). Jadi jawaban benar adalah **d. \( \frac{14}{k}+5 \)**. Seru, kan, menjawab teka-teki usia? Sekarang, mari kita bicarakan tentang mengaplikasikan persamaan ini. Masalah seperti ini bisa muncul dalam soal matematika sehari-hari, seperti menentukan usia, menjadwalkan acara, atau dalam perencanaan keuangan. Memahami hubungan antara usia dan waktu sangat membantu dalam perhitungan yang lebih kompleks, apalagi saat kita bermain dengan variabel!

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