If (M(t)=58+3t) and (N(t)=116-5t), when will (M(t)) be (14) more than (N(t))?
Answer and explanation
Correct answer: \(t=9\)
“14 more” means \(M(t)=N(t)+14\). Thus, \(58+3t=116-5t+14=130-5t\). Hence \(8t=72\), so \(t=9\). At \(t=8\), the difference is only \(6\), making it a close but incorrect option. Exam tip: for “more than” questions, write the larger quantity as the smaller quantity plus the stated difference.
Frequently asked questions
What is the correct answer to this question?
\(t=9\)
Why is this the correct answer?
“14 more” means \(M(t)=N(t)+14\). Thus, \(58+3t=116-5t+14=130-5t\). Hence \(8t=72\), so \(t=9\). At \(t=8\), the difference is only \(6\), making it a close but incorrect option. Exam tip: for “more than” questions, write the larger quantity as the smaller quantity plus the stated difference.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear growth and decay.
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