A is 2 feet tall and grows at a rate of 25 inches per year B is 10 feet y'all and grows at a rate of 9 inches per year How many years will it take for it to be the same height

The number of years it will take for them to be the same height is 6 years

Step-by-step explanation:

Here we have a question relating to optimization

Let the number of years at which they will be the same height be M

we then have

2 ft + (25/12 × M) ft= 10 ft + (9/12 × M) ft which gives

→ (25/12 × M) ft -   (9/12 × M) ft  = 10 ft - 2 ft

→  (25/12 × M) ft -   (9/12 × M) ft  = 8 ft

→4/3 M ft = 8 ft

Therefore, M = (8 ft)÷(4/3 ft) = 6

Therefore, it will take 6 years for them to be the same height.