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A. A person's height is positively associated with their arm span (the distance between the

ends of the fingertips as arms are held out on each side of the body). One of the tallest
men in history had an arm span measuring 7 inches more than his height. The combined
total of his arm span and height was 221 inches. How tall was this man?

User Kdecom
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1 Answer

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28 votes

Final answer:

To find the height of the man, we can create an equation by assuming his height as x inches and using the given information about his arm span. Solving the equation, we find that the man is 107 inches tall.

Step-by-step explanation:

To solve this problem, we can create an equation based on the information given.

Let's assume the man's height is x inches.

According to the problem, his arm span is 7 inches more than his height, so the arm span would be x + 7 inches.

The combined total of his arm span and height is 221 inches, so we can set up the equation: x + (x + 7) = 221.

Simplifying this equation, we get 2x + 7 = 221.

Subtracting 7 from both sides, we have 2x = 214.

Finally, dividing both sides by 2, we find that x = 107.

Therefore, the man is 107 inches tall.

User Josh David Miller
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