Let p, q, r and s be natural numbers such that p - 2016 = q + 2017 = r - 2018 = s + 2019 which one of the following is the largest natural number?
- Ap
- Bq
- CrCorrect
- Ds
Explanation
Let the common value of the given equalities be K. So, we have: p - 2016 = K => p = K + 2016 q + 2017 = K => q = K - 2017 r - 2018 = K => r = K + 2018 s + 2019 = K => s = K - 2019
To find the largest natural number among p, q, r, and s, we need to compare their values in terms of K. p = K + 2016 q = K - 2017 r = K + 2018 s = K - 2019
By comparing the constants added to or subtracted from K, we can see that K + 2018 will yield the largest value. K + 2018 is greater than K + 2016, K - 2017, and K - 2019. Therefore, r is the largest natural number.
The final answer is C
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