Answer:
John's height = 130 cm
Alexa's height = 120 cm
Tacy's height = 100 cm
Step-by-step explanation:
We are given the falling in the question:
John's height = 130 cm
The total height of Tacy, John, and Alexa is 350 cm
Let x be Tacy's height and y be Alexa's height.
Thus, we can write the equation:
[tex]x + y +130 = 350\\x + y = 220[/tex]
Tacy is 30 cm shorter than John.
Thus, Tacy's height =
[tex]x = 130 - 30\\x=100\text{ cm}[/tex]
Thus, Tacy is 100 cm tall.
Alexa is 20 cm taller than Tacy.
Thus, Alexa's height
[tex]y=100 + 20\\y=120\text{ cm}[/tex]
Thus, the height are:
John's height = 130 cm
Alexa's height = 120 cm
Tacy's height = 100 cm
