SOLUTION: The units digit of a two digit number is 2 less than the tens digit. The number is 2 more than 6 times the sum of the digits. Find the answer.

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Question 702073: The units digit of a two digit number is 2 less than the tens digit. The number is 2 more than 6 times the sum of the digits. Find the answer.
Found 2 solutions by solver91311, sachi:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


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Answer by sachi(548) About Me  (Show Source):
You can put this solution on YOUR website!
let the two digit no is 10x+y
The units digit of a two digit number is 2 less than the tens digit.
so y=x-2..........1
The number is 2 more than 6 times the sum of the digits.
10x+y=6(x+y)+2=6x+6y+2
or 4x-5y=2....2
putting the value of y from 1
4x-5(x-2)=2
or 4x-5x+10=2
or -x=2-10=-8
or x=8
from 1
y=8-2=6
so the no is 10*8+6=86
ans