Question Bank › General Aptitude › Simplification › ABC26GN1142ABC26GN1142 · Simplification Subject: General Aptitude · Chapter: Simplification · Exam: 2010 · Marks: · Difficulty:
The lowest temperature in the night in a city is onethird more than $\frac{1}{2}$ the highest during the day. Sum of the lowest temperature and the highest temperature is 100 degrees. Then what is the lowest temperature?
(a) 30 degrees
(b) 40 degrees
(c) 36 degrees
(d) None of these
Answer Explanation Let the highest temperature be $x$ degrees. $$\begin{aligned} & \text { Then, lowest temperature }=\left[\left(1+\frac{1}{3}\right) \frac{x}{2}\right] \text { degrees } \\ & \qquad=\left(\frac{4}{3} \times \frac{x}{2}\right) \text { degrees }=\frac{2 x}{3} \text { degrees. } \\ & \begin{aligned} \therefore \quad x+\frac{2 x}{3}=100 \Leftrightarrow \frac{5 x}{3} & =100 \Leftrightarrow x=\frac{100 \times 3}{5}=60 . \\ \text { So, lowest temperature } & =\left(\frac{2}{3} \times 60\right) \text { degrees }=40 \text { degrees. } \end{aligned} \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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