Posted by Joe Mhar Plaza on Thursday, January 6, 2011 at 10:34pm.
The sum of the of a twodigit number is 15. One third of the number diminished by 12 is 17. Find the number.

Exploring mathematics elementary algebra  Reiny, Thursday, January 6, 2011 at 10:52pm
Did you mean the "sum of the digits of a twodigit 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:
8710y + y = 15
9y = 72
y = 8
x = 87  80 = 7
the number is 87
check the properties stated.
Answer This Question
Related Questions
 Exploring mathematics elementary algebra  The units digits of a twodigit ...
 exploring mathematics elementary algebra  the sum of the digits of a twodigit ...
 tres ninos school  exploring mathematics elementary algebra....the sum of the ...
 Exploring mathematics elementary algebra  the units of a twodigit number ...
 Exploring mathematics elementary algebra  The tens digit of a twodigit number ...
 Algebra math.  1) the sum of the digits of a two digit number is 9. The value ...
 algebra  The sum of the digit of A three digit number is 20 .the middle digit ...
 Mathematics  There is a twodigit number such that the sum of its digit is 6 ...
 Mathematics  There is a twodigit number such that the sum of its digit is 6 ...
 maths  Find the sum of all 3digit positive numbers N that satisfy the ...
More Related Questions