Question 1163926
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Here is a very different method for solving the problem....<br>
Let t and u be the tens and units digits, respectively. Then we are told<br>
{{{3t = 2u-2}}}<br>
Solve that single equation for t and use logical reasoning to find possible values for t and u, knowing that they are both positive single-digit integers.<br>
{{{t = (2u-2)/3}}}
{{{t = (2(u-1))/3}}}<br>
Since t has to be a positive integer, and since 2 is not divisible by 3, (u-1) must be positive and divisible by 3.<br>
That means there are only two possible values for u: 4 and 7.<br>
That in turn leads to only two possible values for the 2-digit number: 42 and 74.<br>
Only one of those satisfies the other condition of the problem.<br>