Question
[34]. A balance scale is perfectly balanced: the left pan holds 4 identical metal weights plus a 3 kg weight, and the right pan holds 3 of the same identical weights plus a 14 kg weight. What is the weight of one identical metal weight? / एक तराज़ू पूरी तरह संतुलित है: बाएँ पलड़े में 4 एक जैसे धातु के बाट और एक 3 किलोग्राम का बाट है, और दाएँ पलड़े में उसी प्रकार के 3 बाट और एक 14 किलोग्राम का बाट है। एक जैसे धातु के एक बाट का भार कितना है?
Option 1 : 11
Detailed Solution
सही उत्तर 11 है।
Let one weight be x kg. Then 4x + 3 = 3x + 14, so x = 14 − 3 = 11 kg. Check: both pans hold 47 kg. / माना एक बाट x किलोग्राम है। तब 4x + 3 = 3x + 14, इसलिए x = 14 − 3 = 11 किलोग्राम। जाँच: दोनों पलड़ों में 47 किलोग्राम है।
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prepsnap.in • Mock TestQuestion:
[34]. A balance scale is perfectly balanced: the left pan holds 4 identical metal weights plus a 3 kg weight, and the right pan holds 3 of the same identical weights plus a 14 kg weight. What is the weight of one identical metal weight? / एक तराज़ू पूरी तरह संतुलित है: बाएँ पलड़े में 4 एक जैसे धातु के बाट और एक 3 किलोग्राम का बाट है, और दाएँ पलड़े में उसी प्रकार के 3 बाट और एक 14 किलोग्राम का बाट है। एक जैसे धातु के एक बाट का भार कितना है?
Correct Answer: 11
Let one weight be x kg. Then 4x + 3 = 3x + 14, so x = 14 − 3 = 11 kg. Check: both pans hold 47 kg. / माना एक बाट x किलोग्राम है। तब 4x + 3 = 3x + 14, इसलिए x = 14 − 3 = 11 किलोग्राम। जाँच: दोनों पलड़ों में 47 किलोग्राम है।