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Omni-MATH / A 24-hour digital clock shows times h:m:s, where h,m, and s are integers with 0≤h≤23, 0≤m≤59, and 0≤s≤59. How many times h:m:s satisfy h+m=s?

Problem

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problem

A 24-hour digital clock shows times h:m:sh: m: s, where h,mh, m, and ss are integers with 0≤h≤230 \leq h \leq 23, 0≤m≤590 \leq m \leq 59, and 0≤s≤590 \leq s \leq 59. How many times h:m:sh: m: s satisfy h+m=sh+m=s?
Plain-text mathematical notation (without MathML)
A 24-hour digital clock shows times h:m:s, where h,m, and s are integers with 0≤h≤23, 0≤m≤59, and 0≤s≤59. How many times h:m:s satisfy h+m=s?
Original LaTeX notation
A 24-hour digital clock shows times $h: m: s$, where $h, m$, and $s$ are integers with $0 \leq h \leq 23$, $0 \leq m \leq 59$, and $0 \leq s \leq 59$. How many times $h: m: s$ satisfy $h+m=s$?

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Source and history

task_id
74d6ae70-5cad-5956-a066-9d929c6e0aee
task_key
test--74d6ae70-5cad-5956-a066-9d929c6e0aee
task_revision_id
1
config / split
/ test

Official source

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