Answer: 111 cm
Step-by-step explanation:
Given that ratio of previous and height increase is ;
36 : 37 - - - - (1)
Height increase = 3cm
Therefore,
Assume current height = x
Previous height = x - 3
Proportion of current and previous height ;
(x - 3) / x - - - - (2)
Equating both equations (1) and (2);
36 / 37 = (x - 3) / x
Cross multiply
36x = 37(x - 3)
36x = 37x - 111
36x - 37x = - 111
-x = - 111
Divide both sides by - 1
x = 111cm
Therefore, present height = 111
Prevuous height (x - 3) = (111 - 3) = 108cm
