The four-digit number has a digit sum of 20. The sum of its last two digits is equal to its second digit increased by 5, the sum of its outer digits equals to its second digit decreased by 3. If we write the digits of the number in reverse order, the number increases by 2,178. Find the number.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.5: Translating Sentences Into Equations
Problem 35WE
icon
Related questions
Question

Solve the worded problem using matrix method.

The four-digit number has a digit sum of 20. The sum of its last two digits is equal to its second
digit increased by 5, the sum of its outer digits equals to its second digit decreased by 3. If we
write the digits of the number in reverse order, the number increases by 2,178. Find the number.
Transcribed Image Text:The four-digit number has a digit sum of 20. The sum of its last two digits is equal to its second digit increased by 5, the sum of its outer digits equals to its second digit decreased by 3. If we write the digits of the number in reverse order, the number increases by 2,178. Find the number.
A cylinder made out of the yellow copper has the weight of 6.297 kg and the volume of 750
cm³. How many kilograms of copper and how many kilograms of zinc the cylinder contains ?
(The density of copper is 8,900 kg/m², the density of zinc is 7,100 kg/m³.)
Transcribed Image Text:A cylinder made out of the yellow copper has the weight of 6.297 kg and the volume of 750 cm³. How many kilograms of copper and how many kilograms of zinc the cylinder contains ? (The density of copper is 8,900 kg/m², the density of zinc is 7,100 kg/m³.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Matrix Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL