Math problems for April 26 2011

Problem #1


Person A was born on January 15, 1948.
Person B was born on January 15, 1962.
If both are alive now, in what year was person A twice as old as person B?



Problem #2
A square piece of paper is folded in half as shown and then cut into two rectangles along the fold (two rectangles are equal). The perimeter of each of the two rectangles is 18 inches. What is the perimeter of the original square?



Problem #3


My age this year is a multiple of 7. Next year it will be a multiple of 5. I am more than 20 years of age but less than 80. How old will I be 6 years from now?



Problem #4


The owner of a bicycle store had a sale on bicycles (two-wheelers) and tricycles (three-wheelers). Each cycle had two pedals. When he counted the total number of pedals of the cycles, he got 50. When he counted the total number of wheels of the cycles, he got 64. How many tricycles were offered in the sale?



Problem #5


Six people participated in a checker tournament. Each participant played exactly three games with each of the other participants. How many games were played in all?



Problem #6


A jar filled with water weighs 10 pounds. When one-half of the water is pored out, the jar and remaining water weighs five and three quarters pounds. How much does the jar weigh?


Problem #7


The average of five numbers is 18. Let the first number be increased by 1, the second number by 2, the third number by 3, the fourth number by 4, and the fifth number by 5. What is the average of the set of increased numbers?