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 518395: 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 valentity(6) (Show Source): You can put this solution on YOUR website!
let the two digits be x and y then the no is 10x+y
x=y+4 .......eqn(1) and x+y= 1/5(10x+5) - 5 ........eqn(2)
from eqn(2) we obtain 5x-4y=25 ........eqn(3)
solving eqn(1) and eqn(2) simultaneouly yields
x=9 and y=5. Thus the no is 10(9)+5=95.
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