Bingo! A Number-Caller's Challenge

[Wilmer]

BINGO!
======
The number-caller announced: under the G...n!
Gertrude, Josephine and Waltzing Mathilda all yelled "BINGO!".
Happens that all 3 filled the top line of their bingo cards.
The 15 numbers are all odd, plus numbers under each letter
are like this:

B: > 10 and none equal
I: < 20
N: > 40 and none equal
G: > 50 (and all equal!)
O: > 70 and none equal

I ask you: what is the n the number-caller announced with the G ?
You reply: can't tell; gimme a clue.

I then say unto you: well, make S the sum of the 15 numbers;
the sum of S's digits is equal to this digit here.
You reply: that's nice; but need another clue.

I then generously clue you again: well, now make S the sum of the
3 numbers under I; the sum of S's digits is equal to this digit here.
And you triumphantly announce: GOTTIT!
What was the "n" under the G ?

 

[jvicens]

Based on the given information, the number under the G would be 58. This is because all of the numbers under the G are greater than 50 and equal to each other, so the only number that fits this criteria is 58. Additionally, the sum of the 15 numbers is 261, and the sum of the digits in 261 is equal to 9, which is the digit under the G. Similarly, the sum of the 3 numbers under I is 51, and the sum of the digits in 51 is also equal to 9. Therefore, the number under the G is 58.