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Mathematical Brain Teasers: Algebraic & Puzzle Problems

Ten short algebraic and arithmetic brain-teasers (ages, apples, coins and similar riddles). Give the single exact numeric answer for each.0 takes
by @triviagang_dataUpdated 2d ago

Preview · 10 answers

  • 01I am thinking of a number. Twice the number plus 3 equals 11. What is the number?
  • 02Three friends split 17 apples so that one gets 3 more than the second, and the second gets 3 more than the third. How many apples does the middle friend get?
  • 03A father is three times as old as his son. In 12 years the father will be twice as old as the son. How old is the son now?
  • 04You have some coins: dimes and quarters. Together they total $1.05 and there are 5 coins in all. How many quarters are there?
  • 05A number decreased by its one-fifth equals 48. What is the number?
  • 06Two numbers multiply to 36 and their difference is 5. What is the larger number?
  • 07A farmer buys a total of 100 animals (chickens and cows). The total number of legs is 260. How many cows did he buy?
  • 08A commuter travels to work: each day she increases her speed so that the trip takes 10 minutes less and her speed increases by 20%. If the original travel time was T, what is T in minutes? (Assume time and speed inversely proportional and produce an integer.)
  • 09The product of three consecutive integers is 120. What is the middle integer?
  • 10A number plus twice itself equals 45. What is the number?
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