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kkneedz1369
21.08.2020 •
Mathematics
Math problem: If Alexander the Great had lived 9 years more his reign would have lasted 1/2 his life, while if he had lived 9 years less his reign would have lasted 1/8 of his life. How old was Alexander when he died? And how long did he reign?
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Ответ:
lived 48 years
reigned for 15 years
Step-by-step explanation:
Let x represent the number of years he reigned.
Let y represent Alexander's age.
Use the given information to create a system of equations:
Equation 1: x + 9 = (1/2)y
Equation 2: x - 9 = (1/8)y
Multiply the second equation by -1 and add the equations to eliminate x:
Input y = 48 into either equation to solve for x:
Ответ: