The art of problem solving - answer

At a certain time, Janice notices that her digital watch read a

minutes after two 0' clock. 15 min. later, it reads b min. after

three o' clock. She is amused to note that a is six times greater

than b. What time was it when she looked at her watch for the

second time?

2:54 and 3:09
a+15 = 60+b
as time has changed from 2 to 3 ( 1 hr = 60 minutes)
and we have a = 6b

so use the above two equations we get
5b=45 and b =9
therefore b =09 and a = 9*6 = 54
the times are 2:54 and 3:09

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