Question

Write the equation for each of the following statements (Each one is worth 10 points): 1) Xavier is nine years younger than Yolanda. 2) Yolanda is seven years older than Zed. 3) The sum of the ages of Xavier and Yolanda is twenty-five.​

Answer 1

9514 1404 393

Answer:

1. X = Y -9
2. Y = Z +7
3. X +Y = 25

Explanation:

We can let X, Y, and Z represent the ages of Xavier, Yolanda, and Zed, respectively.

1) X = Y -9 . . . . . . Xavier is 9 years younger than Yolanda

2) Y = Z +7 . . . . . Yolanda is 7 years older than Zed

3) X +Y = 25 . . . . the sum of ages of Xavier and Yolanda is 25

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Additional comment

The first equation can be substituted into the last to give 2Y-9=25 ⇒ Y=17. The other ages are easily computed once you know this. X=8, Z=10.