Answer:
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.
