If two ladders are placed end to end, their combined height is 31.5 feet. one ladder is 6.5 feet shorter than the other ladder. what are the height of the two ladders?

use the polya's 4 step problem solving strategy​

19 feet and 12.5

Step-by-step explanation:

X + (X-6.5) = 31.5

2X = 31.6-6.5

X = 25/2 or 12.5

One ladder = x feet

other ladder = x - 6.5  feet

Combine height is 31.5 feet

x + x - 6.5 = 31.5

2x - 6.5 = 31.5

2x = 38

x = 19 feet

One ladder = x = 19 feet

Other ladder = x - 6.5 = 19 - 6.5 = 12.5 feet

19 feet and 12.5 feet