It takes 12 years for both trees to be of same height
Solution:
Assume the year that it would take to these trees have the same height is : x (years)
Type A is 7 feet tall and grows at a rate of 23 inches per year:
Convert 7 feet to inches
We know that,
1 foot = 12 inch
7 feet = 12 x 7 inch = 84 inch
Thus, type A is 84 inches tall and grows at a rate of 23 inches per year
We can frame a equation as:
Type A = 84 + 23(number of years)
Type A = 84 + 23x ---------- eqn 1
Type B is 5 feet tall and grows at a rate of 25 inches per year
Convert 5 feet to inches
5 feet = 5 x 12 inches = 60 inches
Thus, type B is 60 inches tall and grows at a rate of 25 inches per year
We can frame a equation as:
Type B = 60 + 25(number of years)
Type B = 60 + 25x --------- eqn 2
For both the trees to be of same height, eqn 1 must be equal to eqn 2
84 + 23x = 60 + 25x
25x - 23x = 84 - 60
2x = 24
x = 12
Thus it takes 12 years for both trees to be of same height