The sum of Wendy and Clyde's age is 64. In 4 years Wendy will be 3 times as old as Clyde. How are old are they now?
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Answer:
Wendy is 50 years old.
clyde is 14 years old.
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The present ages of Wendy and Clyde are 50 and 14 respectively.
Given:
the sum of ages of Wendy and Clyde = 64 years
Wendy's age in 4 years = 3 times Clyde's age
To Find:
the present ages of Wendy and Clyde
Solution:
let the present ages of Wendy and Clyde be x and y
⇒ x + y = 64
x = 64 - y ...(1)
Wendy and Clyde's ages in 4 years will be (x + 4) and (y + 4) respectively.
⇒ (x + 4) = 3(y + 4)
x + 4 = 3y + 12
x = 3y + 8 ...(2)
equating (1) and (2), we get-
64 - y = 3y + 8
4y = 56
y = 14
⇒ x = 64 - 14 = 50
Thus, the present ages of Wendy and Clyde are 50 and 14 respectively.
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