kwizNET Subscribers, please login to turn off the Ads!
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation
3.15 Story Problems - Digits

Digit problems are problems involving numbers with two or more digits.

Example:
89
8 tens or 8 x 10 = 80
9 units or 9 x 1 = 9
Sum = 89
The number is expressed as 10t + u, where t is the digit in the tens place and u is the digit in the units place.
Example:
456
4 one hundreds or 4 x 100 = 400
5 tens or 5 x 10 = 50
6 units or 6 x 1 = 6
Sum = 456
The number is expressed as 100h + 10t + u, where h is the digit in the hundreds place and t is the digit in the tens place and u is the digit in the units place.

Method 1:
Example:
The sum of the digits of a two-digit number is 4. The ones digit is three times the tens digit. What is the number?
Solution:
Let 'u' be the digit in the units place and 't' be the digit in the tens place.
t + u = 4
u = 3t
substituting u = 3t in t + u = 4
t + u = 4
t + 3t = 4
4t = 4
t = 1
u = 3t = 3x1 = 3
The number is 13

Example:
The sum of the digits of a two digit number is 7. When the digits are reversed, the number is increased by 27. Find the number?
Solution:
Let 'u' be the number in the units place and 't' be the number in the tens place.
The algebraic equations can be written:
The sum of the digits of a two digit number is 7 as t + u = 7
The digits are reversed can be written as 10u + t.
When the digits are reversed, the number is increased by 27 can be written as 10u + t = 10t + u + 27.
Solving for t and u:
t + u = 7
t = 7 - u
10u + t = 10t + u + 27
10u + 7 - u = 10(7 - u) + u + 27
10u + 7 - u = 70 - 10u + u + 27
9u + 7 = -9u +97
18u = 97 - 7
18u = 90
u = 90/18 = 45/9 = 5
t = 7 - u = 7 - 5 = 2
So the number has units place 5 and tens place 2 therefore the number is 25
Answer: 25

Directions: Solve the following word problems.
Q 1: The sum of the digits of a two digit number is 13. The units digit is 1 more than twice the tens digit. Find the number.
49
54
62

Q 2: The tens digit of a two digit number is twice the units digit. If the digits are reversed, the new number is 36 less than the original number. Find the number.
42
63
84

Q 3: The tens digit of a certain number is 5 more than the units digit. The sum of the digits is 9. Find the number.
72
65
48

Q 4: The sum of the digits of a three digit number is 6. The hundreds digit is twice the units digit, and the tens digit equals the sum of the other two. Find the number.
231
132
123

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


Subscription to kwizNET Learning System offers the following benefits:

  • Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
  • Instant scoring of online quizzes
  • Progress tracking and award certificates to keep your student motivated
  • Unlimited practice with auto-generated 'WIZ MATH' quizzes
  • Child-friendly website with no advertisements
  • Choice of Math, English, Science, & Social Studies Curriculums
  • Excellent value for K-12 and ACT, SAT, & TOEFL Test Preparation
  • Get discount offers by sending an email to discounts@kwiznet.com

Quiz Timer