Theresa has two brothers,Paul and Steve, who are both the same height. Paul says he is 16 inches shorter than 1 1/2 times Theresa’s height.

Question

Theresa has two brothers,Paul and Steve, who are both the same height. Paul says he is 16 inches shorter than 1 1/2 times Theresa’s height. Steve says he’s 6 inches shorter than 1 1/3 times Theresa’s height. If they’re both right, how tall is Theresa ?​

in progress 0
Hải Đăng 3 years 2021-09-05T02:32:44+00:00 1 Answers 25 views 0

Answers ( )

  1. Dulcie
    0
    2021-09-05T02:34:17+00:00
    Reply

    Answer:

    Theresa’s height is 60 inches

    Step-by-step explanation:

    The given parameters are;

    The height of Paul = The height of Steve

    Paul’s height = 1\dfrac{1}{2} times Theresa’s height – 16 inches

    Steve’s height = 1\dfrac{1}{3} times Theresa’s height – 6 inches

    Let ‘T’ represents Theresa’s height, we have;

    Paul’s height = 1\dfrac{1}{2} ×T – 16

    Steve’s height = 1\dfrac{1}{3} ×T – 6

    Paul’s height = Steve’s height

    Therefore;

    1\dfrac{1}{2} ×T – 16 = 1\dfrac{1}{3} ×T – 6

    1\dfrac{1}{2} ×T – 1\dfrac{1}{3} ×T = 10

    #\dfrac{3}{2} ×T – \dfrac{4}{3} ×T = 10

    \dfrac{1}{6} ×T = 10

    T = 10 × 6 = 60

    Theresa’s height, T = 60 inches

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )