Algebra Puzzle – Challenge 48
Algebra Puzzle - Challenge 48 is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.
This is an interactive mathematical and logic puzzle prepared for anyone interested in school-level math and critical thinking.
Challenge:
12 years ago Michael was X times as old as Ryan was. If Michael is now 27 years old, how old is Ryan now in terms of X?
A- (frac{x}{15})
B- (15x)
C- (frac{15}{x}-12)
D- (frac{15}{x}+12)
E- (frac{x}{15}+12)
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The correct answer is D.
12 years ago Michael was 15 years old. At that time, he was X times as old as Ryan was. Plug is a value for X. Let’s say X is 3. Therefore, Ryan was 5 years old 12 years ago. Now, Ryan is 17.
Plug in 3 for X and check all 5 options:
A. (frac{15}{3} = 3),
B. (15 × 3 = 45),
C. (frac{15}{3}, 12= -7),
D. (frac{15}{3} + 12 = 17)! Bingo
E. (frac{3}{15} + 12 = frac{123}{15})The Absolute Best Books to Ace Algebra
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