document.write( "Question 477328: Hi!!!please help me with this one.
\n" ); document.write( "The tens digit of a certain two - digit number is 4 more than the unit's digit, the sum of the squares of the two digits is 26. Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #327202 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+u+\"$ = the units digit
\n" ); document.write( "Let $\"+t+\"$ = the tens digit
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+t+=+u+%2B+4+\"$
\n" ); document.write( "(2) $\"+t%5E2+%2B+u%5E2++=+26+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+%28u+%2B+4%29%5E2+%2B+u%5E2++=+26+\"$
\n" ); document.write( "(2) $\"+u%5E2+%2B+8u+%2B+16+%2B+u%5E2+=+26+\"$
\n" ); document.write( "(2) $\"+2u%5E2+%2B+8u+-+10+=+0+\"$
\n" ); document.write( "(2) $\"+u%5E2+%2B+4u+-+5+=+0+\"$
\n" ); document.write( "(2) $\"+%28u+%2B+5%29%2A%28u+-+1%29+=+0+\"$ (I could see the factors)
\n" ); document.write( " $\"+u+=+1+\"$ (Not -5 because minus digits not allowed)
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+t+=+u+%2B+4+\"$
\n" ); document.write( "(1) $\"+t=+5+\"$
\n" ); document.write( "------------
\n" ); document.write( "The number is 51 \n" ); document.write( "

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