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 heights of the two ladders?
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Step-by-step explanation:
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
Answer: 19 feet and 12.5 feet
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