The sum of numbers on a digital clock is 6 and on an analog clock the hands point to numbers whose sum is 4. What time is it?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Course: Mathematical Logic
The sum of numbers on a digital clock is 6 and on an analog clock the hands point to numbers whose sum is 4. What time is it? Help: use a drawing

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Step 1

Digital Clock:

A digital clock tells us the time using the numbers (1,2,3,...).

Analog Clock:

An analog clock tells us the time using the hands (hour hand, minute hand,..).

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Looking at the problem, simultaneously both clocks must have the same time; one adds 6 and the other 4; so the only solution should be 23:10 (2+3+1+0 = 6) in the digital clock what the hands say is 11 and 2 in the analog clock (1+1+2 = 4). When you say "14:10" as observed on the digital clock is not the same on the analog because the hands would point to 2 and 10 (2+1 = 3 not 4)....Please check. Thanks

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