Question 760996

The sum of the digits of a two digit number is 14. The difference between the tens digit and the units digit is 2. Find the number


Let the tens and units digits be T and U, respectively


Then: T + U = 14 ------ eq (i)
Also, T - U = 2 ----- eq (ii)
2T = 16 ----- Adding eqs (i) & (ii)


T, or tens digit = {{{16/2}}}, or {{{8}}}


8 + U = 14 ----- Substituting 8 for T in eq (i)


U = 14 - 8, or {{{6}}}


The number is therefore, {{{highlight_green(86)}}}.


However, since no clue was given regarding the size of the tens compared to the units digit, the number can also be: {{{highlight_green(68)}}}


You can do the check!! 


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