Multiple choice general knowledge math & puzzles

In three more years, Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's present age is added to his grandfather's present age, the total is 68. How old is Miguel's now?

  1. 12

  2. 11

  3. 14

  4. 16
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let M = Miguel's age, G = grandfather's age. From M+G=68 we get G=68-M. The condition G+3=6(M-1) becomes (68-M)+3=6(M-1), which simplifies to 71-M=6M-6, then 77=7M, so M=11. At age 11, Miguel's grandfather is 57, and in 3 years (60) he will indeed be 6 times Miguel's age last year (10×6=60).

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