Judy is 26 years old and Diane is 5 years old. In how many years will Judy be twice as old as Diane?
A. 16
B. 19
C. 21
D. 24
E. 26
Answer: A
Source: Princeton Review
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Judy is 26 years old and Diane is 5 years old. In how many years will Judy be twice as old as Diane?
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BTGModeratorVI
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Judy is 26 years old and Diane is 5 years old. In how many years will Judy be twice as old as Diane?
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Let x = the number of years until Judy is twice as old as DianeBTGModeratorVI wrote: ↑Tue Feb 16, 2021 8:16 amJudy is 26 years old and Diane is 5 years old. In how many years will Judy be twice as old as Diane?
A. 16
B. 19
C. 21
D. 24
E. 26
Answer: A
Source: Princeton Review
So, 26 + x = Judy's age in x years
And 5 + x = Diane's age in x years
We get the equation: 26 + x = 2(5 + x)
Expand: 26 + x = 10 + 2x
Subtract x from both sides: 26 = 10 + x
Subtract 10 from both sides: 16 = x
Answer: A
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