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If (M(t)=95+6t) and (N(t)=203-6t), when will (M(t)) be (24) more than (N(t))?यदि (M(t)=95+6t) और (N(t)=203-6t), तो (M(t)) कब (N(t)) से (24) अधिक होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(t=11\)\(t=11\)
The required condition is \(M(t)=N(t)+24\). Thus, \(95+6t=203-6t+24\), so \(12t=132\) and \(t=11\). Checking: \(M(11)=161\) and \(N(11)=137\), giving a difference of \(24\). At \(t=10\), the difference is only \(12\). Exam tip: translate “24 more than” as \(M-N=24\).शर्त है कि \(M(t)=N(t)+24\)। अतः \(95+6t=203-6t+24\), यानी \(12t=132\), इसलिए \(t=11\)। जाँच करने पर \(M(11)=161\) और \(N(11)=137\) हैं; अंतर \(24\) है। \(t=10\) पर अंतर केवल \(12\) होगा। परीक्षा टिप: “से 24 अधिक” को हमेशा \(M-N=24\) लिखें।
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