Theresa has two brothers, Paul and Steve, who are both the same height. Paul says he is inches shorter than times Theresa’s height. Steve says he is inches shorter than times Theresa’s height. If they are both right, how tall is Theresa? To solve a problem like this one, you can use a linear equation where the variable represents Theresa’s height in inches. Let represent Theresa’s height in inches.
Answers
The complete question is,
Given:
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.
To find:
If they are both right, how tall is Theresa?
Solution:
From given, we have,
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.
Let the height of Theresa be "x" inches.
So, we get,
For Paul, 1 1/2 x - 16 = T
⇒ 3/2 x - 16 = T ......(1)
For Steve, 1 1/3 x - 6 = T
⇒ 4/3 x - 6 = T .........(2)
equating equations (1) and (2), we get,
3/2 x - 16 = 4/3 x - 6
6 - 16 = 4/3 x - 3/2 x
-10 = (8 - 9)/6 x
-60 = -x
x = 60 iches.
Therefore, Theresa is 60 inches tall.