In the given factor tree, the value of $x + y + z$ is:

[1 mark]

213

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211

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209

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207

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Solution

The correct option is D 207
Factorisation of 765 by factor tree method

$\Rightarrow x = 153$
$z = (3) (17) = 51$
$y = \frac{x}{z} = \frac{153}{51} = 3$
$∴ x + y + z = 153 + 51 + 3 = 207$

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