SOLUTION: The sum of a two digit number and the number obtained by interchanging the digits is 66. If the digits in the units place is 2 more than the digits in the tens place, find the numb
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Question 745446: The sum of a two digit number and the number obtained by interchanging the digits is 66. If the digits in the units place is 2 more than the digits in the tens place, find the number.
Answer by savvyhush23(50) (Show Source): You can put this solution on YOUR website!
The sum of a two digit number and the number obtained by interchanging the digits is 66. If the digits in the units place is 2 more than the digits in the tens place, find the number.
Let,
The two digit number is:
interchanging the digit becomes:
Their sum :
equation (1)
...If the digits in the units place is 2 more than the digits in the tens place...
equation (2)
Substitute (2) to (1);
, solving t = 2 and u = 4
Therefore, the number is
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