Posted by Joe Mhar Plaza on Thursday, January 6, 2011 at 10:34pm.
Did you mean the "sum of the digits of a two-digit number is 15" ?
if so, then
let the unit digit be x
let the tens digit be y
so the value is 10y + x
"One third of the number diminished by 12 is 17"
---> (1/3)(10y+x) - 12 = 17
(1/3)(10y+x) = 29
multiply by 3
10y+x = 87
x = 87 - 10y
also x+y = 15
by substitution:
87-10y + y = 15
-9y = -72
y = 8
x = 87 - 80 = 7
the number is 87
check the properties stated.
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