Ο Μάκης αγόρασε δύο ρολόγια, ένα ακριβό για την κοπέλα του και ένα φτηνό για την μικρή του αδερφή. Το ακριβό κόστιζε 80€ παραπάνω από το φτηνό και πλήρωσε συνολικά 130€ και για τα δύο. Πόσο πλήρωσε για το φτηνό ρολόι;
![Αποτέλεσμα εικόνας για γριφος](data:image/jpeg;base64,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)
Μήπως απάντησες πως το φτηνό ρολόι κόστιζε 50€; Λάθος! Δες τη σωστή απάντηση παρακάτω:
Απάντηση
Το φτηνό κοστίζει χ.
Το ακριβό κοστίζει χ + 80.
Άρα έχουμε: χ + χ +80 = 130 =>
2χ = 130 - 80 =>
2χ = 50 =>
χ = 25.
Άρα, το φτηνό ρολόι κοστίζει 25 ευρώ και το ακριβό 25 + 80 = 105 ευρώ.
Περισσότεροι γρίφοι εδώ.
Μήπως απάντησες πως το φτηνό ρολόι κόστιζε 50€; Λάθος! Δες τη σωστή απάντηση παρακάτω:
Απάντηση
Το φτηνό κοστίζει χ.
Το ακριβό κοστίζει χ + 80.
Άρα έχουμε: χ + χ +80 = 130 =>
2χ = 130 - 80 =>
2χ = 50 =>
χ = 25.
Άρα, το φτηνό ρολόι κοστίζει 25 ευρώ και το ακριβό 25 + 80 = 105 ευρώ.
Περισσότεροι γρίφοι εδώ.