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If (C(t)=130-5t) and (D(t)=70+3t), at what (t) will (C(t)) be (12) less than (D(t))?यदि (C(t)=130-5t) और (D(t)=70+3t), तो किस (t) पर (C(t)) (D(t)) से (12) कम होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(t=9\)\(t=9\)
“\(C(t)\) is 12 less than \(D(t)\)” means \(C(t)=D(t)-12\). Thus, \(130-5t=70+3t-12\). Simplifying gives \(72=8t\), so \(t=9\). Option \(t=8\) is close, but the difference between the two values is not 12 there. Exam tip: For “less than” comparisons, subtract the stated amount from the larger expression before forming the equation.“\(C(t)\), \(D(t)\) से 12 कम” का अर्थ है \(C(t)=D(t)-12\)। अतः \(130-5t=70+3t-12\)। सरल करने पर \(72=8t\), इसलिए \(t=9\)। \(t=8\) निकट विकल्प है, लेकिन उस पर दोनों मानों का अंतर 12 नहीं होता। परीक्षा टिप: “से कम” वाले प्रश्न में बड़े व्यंजक में से दी गई संख्या घटाकर समीकरण बनाइए।
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