4 years ago

Pls help on this one?

Mathematics

1 answer:

Gennadij [26K]4 years ago

3 0

Answer:

$\large\boxed{D.\ x+4}$

Step-by-step explanation:

$\dfrac{x^2-16}{x-4}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2}{x-4}=\dfrac{(x-4)(x+4)}{x-4}\\\\\text{canceled}\ (x-4)\\\\=\dfrac{x+4}{1}=x+4$

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Let the age of the 4th person be F
Sum of the 1st four in line: 4(23), or 92
Sum of 1st 3: 92 - F (excludes the 4th person's age)
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Sum of last 2: 102 - F (excludes the 4th person's age)
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We now get: F + 92 - F + 102- F = 162
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- F = 162 - 194
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F, or 4th person's age = -32/-1, or 32

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