All Questions

What are the missing digits in the multiplication puzzle below? All the missing digits are different numbers.

AB6 \(\times\) 7 = C85D

Annie has nickels and dimes in her pocket. She has three times as many dimes as nickels. Her friend Brenda says, “I can write an expression that will tell me exactly the amount of money you have in your pocket when you have three times as many dimes as nickels. All I need to know is how many nickels you have, and I can show you the correct amount.”

If x equals the number of nickels, then Brenda’s expression reads:

a. x + 3x

b. 35x

c. x(2x + .05)

d. There is no expression.

If \(2=\dfrac{1}{5}\) , then what does 7 equal?

The product of two numbers is 168, and their difference is 2. What are the two numbers?

YY + YY = XYZ

What is the value that Z could have?

In an adult evening math class, the average age of the class of men and women is 36. The average age of the men is 45, and the average age of the women is 30. What is the ratio of the women to the men in the group?

Here’s an alphametic puzzle paying tribute to baseball. Each letter stands for a positive integer from 0–9. Zero cannot begin a word. For this puzzle, let A = 4.

FUN + FUN + FUN + FUN = BALL

A high school baseball team was going to its annual spring banquet when one of the ballplayers said, “Seven of us are outfielders, nine of us are infielders, and the rest are pitchers who make up one-third of the team.” How many ballplayers are on the team?

If A * B * C = 1 and B * C * D = 0, then:
a. A is less than 1
b. B is less than 1
c. C = 1
d. D = 0
e. A = 0

The equations below are partially in code. The numbers 1 to 6 have been replaced with letters from A to F (but not in that order). Can you crack the code and replace the letters with numbers to make the equations correct?

5EF - AB5 = B1D

FDB + EA + B6 + 3E = 2DC