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Опрос |
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GMAT/Problem Solving - Improves with Age
Improves with Age
x years ago, Cory was one fifth as old as Tania. In x years, Tania will be twice as old as Cory. What is the ratio of Cory's current age to Tania's current age?
(A) 7:23
(B) 9:17
(C) 5:13
(D) 3:7
(E) 11:15
| ОТВЕТЫ И КОММЕНТАРИИ |
| Решение |
Use a chart to keep track of the ages in this problem:
| | x years ago | NOW | in x years |
| Corey | C - x | C | C + x |
| Tania | T - x | T | T + x |
Then write algebraic expressions to represent the information given in the problem:
x years ago, Cory was one fifth as old as Tania
5(C – x) = T – x
5C – 5x = T – x
5C – T = 4x
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In x years, Tania will be twice as old as Cory
2(C + x) = T + x
2C + 2x = T + x
T – 2C = x
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Substitute T - 2C in for x in the first equation and solve:
5C - T = 4(T - 2C)
5C - T = 4T - 8C
13C = 5T
The correct answer is C.
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Having been ordered by the judge to resume alimony payments, Ms. Jones was
still not required by it to see her children on weekends.
A) Ms. Jones was still not required by it
B) still had not been required by it
C) still was not to be required
D) was still not required
E) was not sufficiently required
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