Posted by emma on Monday, November 21, 2011 at 7:06pm.
in a two digit number, the sum of the digit is 8. the different between this number and the number with the digit reversed is 54, what is the number.

word problem  Damon, Monday, November 21, 2011 at 7:11pm
n m = 10 n + m
n+m = 8
m n = n + 10 m
n + 10 m  (10 n + m) = 54
9 n + 9 m = 54
n + m = 6
but
+n + m = 8
 add
0 +2m = 14
m = 7
n = 1
so
17

word problem  Reiny, Monday, November 21, 2011 at 7:12pm
original:
unit digit  x
tens digit  8x
the number: 10(8x) + x
the number reversed: 10x + (8x)
10x + 8x  (10(8x) + x) = 54
10x + 8 x  80 + 10x  x = 54
18x = 126
x = 7
unit digit = 7
tens digit = 1
original number 17
number reversed 71
or
original number is 71
number reversed is 17
in both cases the difference between them is 54
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