VJesus12 wrote:If 42.42 = k(14 + m/50), where k and m are positive integers and m < 50, then what is the value of k + m ?
(A) 6
(B) 7
(C) 8
(D) 9
(E) 10
The OA is E.
What is the equation I should use to solve this PS question? How do I find k and m? Experts, I need your help.
We have 42.42 = k(14 + m/50).
4242/100 = k(14 + m/50)
2121/50 = k(14 + m/50)
2121 = k(700 + m)
3*7*101 = k(700 + m); 101 cannot be broken as it is a prime number.
* If k = 3, then m = 7 < 50, thus k + m = 10. The correct answer is E.
Since this is a PS question, we need not deliberate on this further as only one among the five options is correct; however, for the sake of understanding, we discuss the other possibilities.
* If k = 1, then (700 + m) = 2121 => m = 1421; it is not possible since m < 50.
* If k = 3, then (700 + m) = 303 => m = -397; it is not possible since m is positive.
* If k = 101, then (700 + m) = 21 => m = -679; it is also not possible since m is positive.
So, k = 3 and m = 7, thus k + m = 10.
The correct answer:
E
Hope this helps!
-Jay
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