Question
The sum of the digits of a three-digit number is 15 . The tens-place digit is twice the hundreds-place digit, and the ones-place digit is 1 less than the hundredsplace digit. Find the three-digit number.
Step 1
We know that the sum of these digits is 15, so we can write this as an equation: $a + b + c = 15$. Show more…
Show all steps
Your feedback will help us improve your experience
Victor Salazar and 53 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The sum of the digits in a four-digit number is $10 .$ Twice the sum of the thousands digit and the tens digit is 1 less than the sum of the other two digits. The tens digit is twice the thousands digit. The ones digit equals the sum of the thousands digit and the hundreds digit. Find the four-digit number.
Systems of Linear Equations and Problem Solving
Elimination Using Matrices
The tens digit of a two-digit positive integer is 2 more than three times the units digit. If the digits are interchanged, the new number is 13 less than half the given number. Find the given integer. (Hint. Let $x=$ the tens-place digit and $y=$ the units-place digit; then $10 x+y$ is the number.
Solving Applications Systems of Two Equations
Find a three-digit number such that the sum of the digits is $14,$ the tens digit is 2 more than the ones digit, and if the digits are reversed, the number is unchanged.
Solving Applications: Systems of Three Equations
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD