The following conditions are given: The sum of and is . The sum of and is three times . The sum of and is of . is of the sum of and . Find the value of .

29 Explanation: 1. Formulating the equations: Based on image_e42302.png , we establish the following system: 2. Solving for the variables: Substitute into the first equation: Since , we know : Now substitute and into : Substitute and into : Substitute into : Finally, find : Therefore, the value of is (a) 29 .

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NIMCET 2026 — Reasoning PYQ

NIMCET | Reasoning | 2026

The following conditions are given:

The sum of $X, Y, W,$ and $Z$ is $84$ .
The sum of $Y, W,$ and $Z$ is three times $X$ .
The sum of $X, W,$ and $Z$ is $320%$ of $Y$ .
$W$ is $20%$ of the sum of $X, Y,$ and $Z$ .

Find the value of $Z$ .

Choose the correct answer: