What formula do I use to answer this word problem?

label Algebra
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The sum of both digits, of either of two two-digit numbers, in whatever order the digits are written, is 9.  The square of either of the digits of either number, minus the product of both digits, plus the square of the other digit is the number 21.  The numbers are _______?

Apr 27th, 2015

You can solve this by calling digit 1 "a" and digit 2 "b."  

Sum of both digits: a+b= 9

Square: a^2 -ab + b^2 = 21

Solve for a or b and substitute into the second equation. 

Apr 26th, 2015

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Apr 27th, 2015
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Apr 27th, 2015
Oct 23rd, 2017
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