ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

    Question

    If p = 35 - q - r and pq + r(q + p) = 315, then find

    the value of (p┬▓ + q┬▓ + r┬▓).
    A 575 Correct Answer Incorrect Answer
    B 585 Correct Answer Incorrect Answer
    C 595 Correct Answer Incorrect Answer
    D 605 Correct Answer Incorrect Answer

    Solution

    We have, p = 35 - q - r So, p + q + r = 35 And, pq + r(q + p) = 315 Or, pq + qr + pr = 315 Using, (p + q + r)┬▓ = p┬▓ + q┬▓ + r┬▓ + 2(pq + qr + pr) So, 35┬▓ = (p┬▓ + q┬▓ + r┬▓) + 2 ├Ч 315 Or, 1225 = (p┬▓ + q┬▓ + r┬▓) + 630 Or, p┬▓ + q┬▓ + r┬▓ = 1225 - 630 Or, p┬▓ + q┬▓ + r┬▓ = 595

    Practice Next
    More Algebra Questions
    ask-question