SOLUTION: The tens digit of a number exceeds the units digit by 2. The sum of the digits is 1/7 of the number. What is the number?

Question 88159: The tens digit of a number exceeds the units digit by 2. The sum of the digits is 1/7 of the number. What is the number?
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
Let the number be written as xy where x is the number of tens and y is the number of units.

Mathematically, the number is 10x+y

So, --1
and --2

Simplifying eq2:

or

--1 is which then becomes

so using and knowing that y=2, we get x=4

--> number is 42

cheers
Jon.

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