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 ?
Accepted Solution
A:
Answer:Yolanda is 28Zachary is 21Step-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__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 = 63Using 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