SOLUTION: a two digit number is such that the ten's digit exceeds twice the unit's digit by 2 and the number obtained by interchanging the digits is 5 more than 3 times the sum of the digits
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Question 899359: a two digit number is such that the ten's digit exceeds twice the unit's digit by 2 and the number obtained by interchanging the digits is 5 more than 3 times the sum of the digits .find this two digit number. Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! Let the number be represented by xy
x in ten's place
x-2y=2...............(1)
10y+x= 3(x+y) +5
10y+x= 3x+3y+5
7y-2x=5...............(2)
1 x -2 y = 2 .............1
-2 x + 7 y = 5 .............2
Eliminate y
multiply (1)by 7
Multiply (2) by 2
7 x -14 y = 14
-4 x + 14 y = 10
Add the two equations
3 x = 24
/ 3
x = 8
plug value of x in (1)
1 x -2 y = 2
8 -2 y = 2
-2 y = 2 -8
-2 y = -6
y = 3
the number is 83
