2001 CEMC Gauss (Grade 8) Problems/Problem 17
Problem
Daniel’s age is one-ninth of his father’s age. One year from now, Daniel’s father’s age will be seven times Daniel’s age. The difference between their ages is
Solution 1
Let be Daniel's current age. Using the first sentence of the problem, we then see that his father's age is
.
We also know that Daniel's age year from now is
, and his father's age is
. From the second sentence, we also know his father's age in
year will be
.
Equating the two, we get:
The difference between their ages would be .
~anabel.disher
2001 CEMC Gauss (Grade 8) (Problems • Answer Key • Resources) | ||
Preceded by Problem 16 |
Followed by Problem 18 | |
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CEMC Gauss (Grade 8) |