Yolanda is twice as old as zachry was when yolanda was zachary's age. when zachry is as old as yolanda is now, the sum of their ages will be 63. how old are yolanda and zachary ?

Step-by-step explanation:

Let y represent Yolanda's age now, and let d represent their difference in ages. Then Zachary is now y-d years old.

When Yolanda was Zachary's age (now), Zachary was (y-d) -d. Yolanda is now twice that age:

  y = 2(y -2d)

  4d = y . . . . . . eliminate parentheses, add 4d-y

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When Zachary is as old as Yolanda is now, Yolanda will be y+d and the sum of their ages will be 63:

  y + (y+d) = 63

  2y + d = 63

Using the expression for y from above, we get ...

  2(4d) +d = 63

  d = 7 . . . . . . . . divide by 9

  y = 4d = 28 . . . . Yolanda's current age

  y-d = 21 . . . . . . . Zachary's current age

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step-by-step explanation: