One of the most important and conceptual question from real numbers in which we have given two electronic device and one device beeps after every 60 seconds and other one beeps after every 62 seconds. We have to find at what time will they beep together at the earliest if they already beep together at 10 a.m.

Kindly solve the above problem in detail

RS Aggarwal, Class 10, chapter 1B, question no 25

## Beep Duration of first device =60 seconds

Beep Duration of Second device =62 seconds

To find the interval of beeping together , we need to find the LCM of 60 and 62 first.

60=2×2×3×5

62=2×31

LCM =2×2×3×5×31=1860seconds

Convert time into min

160sec=1860/60 mins =31 min

electronic devices will beep after very 31 minutes.

hence , both device will together again beep at 10:31 am again