Exploring Relationships: Digits in Age and Price Puzzles

A two-digit number is such that if you reverse its digits, the new number is 27 less than the original. If the sum of the digits is 9, what are the original digits?

• 8 and 1

• 6 and 3

• 5 and 4

• 7 and 2

Tags

CCSS.8.EE.C.8C

The ages of two siblings add up to 30. If you reverse the digits of the older sibling's age, it becomes 6 more than the younger sibling's age. What are their ages?

• 20 and 10

• 24 and 6

• 18 and 12

• 30 and 0

A two-digit number is 4 times the sum of its digits. If you reverse the digits, the new number is 36 less than the original. What is the original number?

• 48

• 36

• 72

• 24

The price of a shirt and a pair of pants together is $50. If you reverse the digits of the shirt's price, it becomes $10 less than the price of the pants. What are the prices of the shirt and pants?

• Shirt: $10, Pants: $40

• Shirt: $25, Pants: $25

• Shirt: $15, Pants: $35

• Shirt: $20, Pants: $30

A two-digit number is 3 times the sum of its digits. If you reverse the digits, the new number is 27 more than the original. What is the original number?

• 27

• 18

• 36

• 45

Tags

CCSS.8.EE.C.8C

The sum of two numbers is 45. If you reverse the digits of the larger number, it becomes 9 less than the smaller number. What are the two numbers?

• 40 and 5

• 36 and 9

• 30 and 15

• 27 and 18

Tags

CCSS.8.EE.C.8C

A two-digit number is 5 times the sum of its digits. If you reverse the digits, the new number is 45 less than the original. What is the original number?

• 63

• 72

• 84

• 54

The total cost of a book and a magazine is $24. If you reverse the digits of the book's price, it becomes $4 less than the magazine's price. What are the prices of the book and magazine?

• Book: $15, Magazine: $9

• Book: $10, Magazine: $14

• Book: $20, Magazine: $4

• Book: $12, Magazine: $12

Tags

CCSS.8.EE.C.8C

A two-digit number is 2 times the sum of its digits. If you reverse the digits, the new number is 18 more than the original. What is the original number?

• 24

• 18

• 12

• 36

Tags

CCSS.8.EE.C.8C

The ages of a father and son add up to 50. If you reverse the digits of the father's age, it becomes 10 less than the son's age. What are their ages?

• Father's age: 45, Son's age: 5

• Father's age: 25, Son's age: 25

• Father's age: 30, Son's age: 20

• Father's age: 40, Son's age: 10