Mary and Jim have tickets to a concert. Mary's ticket number is one less than Jim's ticket number. The product of their numbers
is 812. What are the two numbers?
2 answers:
Mary - M
<span>Jim - J </span>
<span>Mary's ticket number is one less than Jim's ticket number. </span>
<span>J - 1 = M </span>
<span>The product of their numbers is 812 </span>
<span>M * J = 812 </span>
<span>plus first equation into 2nd </span>
<span>(J - 1) J = 812 </span>
<span>J^2 - J - 812 = 0 </span>
<span>(J - 29) (J + 28) = 0 </span>
<span>J = 29 or -28, 29 cuz you can't have negative for question. </span>
<span>J = 29 </span>
<span>plus 29 in first equation, </span>
<span>29 - 1 = M </span>
<span>28 = M </span>
<span>Mary's ticket number is 28 and Jim is 29</span>
X+ (x-1)=812
x+x-1=812
2x-1=812
2x-1+1=812+1
2x=813
(2x/2)=(813/2)
x= 406.5
One ticket number has to be 406.5, and the other has to be 405.5
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