Algebra Puzzle – Challenge 55
Who can solve this great math puzzle? This is for smart people who love teasing their brains with math challenges!
Challenge:
Jason’s age is \(\frac{5}{8}\) of Alice’s age now. In ten years, the sum of Jason’s and Alice’s age will be 72. How old will Alice be in 5 years?
A- 20
B- 30
C- 32
D- 37
E- 42
The Absolute Best Book to challenge your Smart Student!
The correct answer is D.
Let J be the Jason’s age and A be the Alice’s age. Then:
J =\( \frac{5}{8}\) A
In 10 years: (J + 10) + (A + 10) = 72
Replace J with its value in the first equation:
Then: \((\frac{5}{8} A + 10) + (A + 10) = 72 →1 \frac{5}{8} A = 52 → A = 32\)
In 5 years, Alice will be 37. (32 + 5 = 37)
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
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