[Math Lair] The Digital Clock

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[images of digital clock reading 4:04]

In the picture of the digital clock on the right hand side of the page, the time that the clock reads is 4:04. At this time, the number representing the number of hours is equal to the number of minutes.

What is the minimum amount of time, in minutes, from a time when a time is displayed where the number of hours equals the number of minutes to a time when a different time is displayed where the number of hours equals the number of minutes?

The answer is on the answers page.