SOLUTION: Beth C. Day lived 63 years from 18tu to 18ut. The sum of tu and ut is 11. In what year was Beth C. Day born? (answer is 1829-show your solution)

Question 843048: Beth C. Day lived 63 years from 18tu to 18ut. The sum of tu and ut is 11. In what year was Beth C. Day born? (answer is 1829-show your solution)
Answer by rdhyani(2) (Show Source): You can put this solution on YOUR website!
==>18tu-18ut=63;
1800+10t+u-(1800+10u+t)=63;
9t-9u=63;
t-u=7 eqn(1)

==>t+u=11 & u+t=11;
2*(t+u)=22;
t+u=11 eqn(2)
adding eqn(1) & eqn(2)
2t=18;
Hence t=9;
using eqn(1) then u=2
Hence Beth Day year of birth=1829
Thanks
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