Algebra: Structure And Method, Book 1

(REV)00 Edition

ISBN: 9780395977224

Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher: McDougal Littell

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Concept explainers

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Question

Chapter 1.7, Problem 3P

To determine

To find: The value of smaller number and larger number for the given situation.

Expert Solution & Answer

Answer to Problem 3P

Smaller number is 64 and larger number is 121

Explanation of Solution

Given information: Two numbers differ by 57. Their sum is 185.

Calculation:

Let the smaller number is x

Larger number is y .

The equation for their sum is 185 is,

x+y=185 -----(1)

They differ by 57. So, larger number − smaller number is difference 57.

The equation is

y−x=57 -------(2)

Add the equations (1) and (2) to eliminate the x .

x+y=185−x+y=57−−−−−−−−2y=242

Divide both sides by 2,

y=121

Now, plug in 121 for y into any of the two equations,

x+121=185

Subtract both sides 121

x=64

Conclusion: Smaller number is 64 and larger number is 121.

Chapter 1.7, Problem 2P

Chapter 1.7, Problem 4P

Chapter 1 Solutions

Algebra: Structure And Method, Book 1

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