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.​

9514 1404 393

Step-by-step 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

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.