SOLUTION: It is an even two-digit number,the difference of the two digits is 7, and the sum of the digits' squares is 49. What is the even two-digit number?

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Question 533544: It is an even two-digit number,the difference of the two digits is 7, and the sum of the digits' squares is 49. What is the even two-digit number?
Answer by lwsshak3(11628) About Me  (Show Source):
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It is an even two-digit number,the difference of the two digits is 7, and the sum of the digits' squares is 49. What is the even two-digit number?
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u=one's digit
t=ten's digit
..
t-u=7
u=t-7
t^2+u^2=49
t^2+(t-7)^2=49
t^2+t^2-14t+49=49
2t^2-14t=0
t^2-7t=0
t(t-7)=0
t=0
u=t-(-7)=0+7=7
ut=70
or
t=7
u=t-7=0-7=-7
ut=-70
ans:
The even two-digit number=70