SOLUTION: A number consists of two digits. The digit in the unit's place is less than the digit in the ten's place by 2. If the number is subtracted from 11times the sum of the digits then t
Question 758328: A number consists of two digits. The digit in the unit's place is less than the digit in the ten's place by 2. If the number is subtracted from 11times the sum of the digits then the digits are reversed. Find the number. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A number consists of two digits.
10a + b
:
The digit in the unit's place is less than the digit in the ten's
place by 2.
b = a-2
:
If the number is subtracted from 11 times the sum of the digits, then
the digits are reversed.
11(a+b) - (10a+b) = 10b + a
11a + 11b - 10a - b = 10b + a
combine the like terms on the left
11a - 10a - a + 11b - b - 10b = 0
and you get 0! So that's not very helpful, just choose a number
97 is good one
11(9+7) - 97 = 79
or how about 64
11(6+4) - 64 = 46
or 75
11(7+5) - 75 = 57
Take your pick
