Answer: The correct option is (C) Kathryn: 165, Michael: 260.
Step-by-step explanation: Given that Michael and Kathryn bowled together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s.
We are to find the scores of both of them.
Let, x and y represents the scores of Michael and Kathryn respectively.
Then, according to the given information, we have
[tex]x+y=425~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x=2y-70~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Substituting the value of x from equation (ii) in equation (i), we get
[tex]x+y=425\\\\\Rightarrow (2y-70)+y=425\\\\\Rightarrow 3y=425+70\\\\\Rightarrow 3y=495\\\\\Rightarrow y=165.[/tex]
From equation (ii) again, we get
[tex]x=2\times 165-70\\\\\Rightarrow x=330-70\\\\\Rightarrow x=260.[/tex]
Thus, Michael's score is 260 and Karthyn's score is 165.
Option (C) is CORRECT.
