SOLUTION: The tens-digit of a two-digit number is 4 more than the units digit.If the sum of the digits is 5 less than one-fifth of the number.find the number

Question 719066: The tens-digit of a two-digit number is 4 more than the units digit.If the sum of the digits is 5 less than one-fifth of the number.find the number
Answer by god2012(113) (Show Source): You can put this solution on YOUR website!
Let the 2 digit number be 'AB'
Given : A = 4+B
A + B = AB/5 - 5
or 5A + 5B = AB - 25 = 10A + B - 25 (because AB can be expanded as 10*A + B *1)
5A-4B = 25 --------- eq.1
A - B = 4 ---------- eq.2
Solving eq.1 and eq.2, we get
A = 9
B = 5
the number is 95
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