### Brain Teasers

# Sum of the Parts

There is a number which is greater than the sum of its third, tenth, and twelfth parts by 58. Can you find the number?

### Answer

The number is 120.Hide Answer Show Answer

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## Comments

It's one of the hour-puzzles (meaning 1 hour = 60 minutes and not the time to solve it). 20m + 6m + 5m = 31 minutes, leaving 29m to the full hour. So I get 2 hours (or 120 minutes) to reach 58 minutes. Perhaps a bit abstract, but an easy way to solve it without pen & paper. Btw: I like your teasers. They are top quality!!

I really don't understand this...at all.

"third, tenth, twelth parts by 58"

"third, tenth, twelth parts by 58"

I really don't understand this...at all.

"third, tenth, twelth parts by 58"

"third, tenth, twelth parts by 58"

third=120/3=40, tenth=120/10=12, twelfth=120/12=10.

40+12+10+58=120.

40+12+10+58=120.

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