C. Solve the following:1. The second of the four number is 3 less than the first, the third is 4 more than the first, andthe fourth is 2 more than the third. Their sum is 35. What are the numbers?2. Find three consecutive even integers whose sum is 72.3. The sum of the digits of a two-digit number is 11. If the digits are interchanged, the newnumber is 27 larger than the original number. Find the number.4. A man can row 4 km per hour in still water finds that he can row upstream in 7- hours a1distance which require 2- hours to row downstream. Find the rate of the current.5. The perimeter of a rectangle is 178 meters. If 4 meters were added to its width, the sum ishalf its length. What are its dimensions?

Answered: 1. The second of the four number is 3…

1. The second of the four number is 3 less than the first, the third is 4 more than the first, and the fourth is 2 more than the third. Their sum is 35. What are the numbers?

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

Chapter9: Systems Of Linear Equations

Section9.7: Puzzle Problems

Problem 25P

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Question

C. Solve the following:
1. The second of the four number is 3 less than the first, the third is 4 more than the first, and
the fourth is 2 more than the third. Their sum is 35. What are the numbers?
2. Find three consecutive even integers whose sum is 72.
3. The sum of the digits of a two-digit number is 11. If the digits are interchanged, the new
number is 27 larger than the original number. Find the number.
4. A man can row 4 km per hour in still water finds that he can row upstream in 7- hours a
1
distance which require 2- hours to row downstream. Find the rate of the current.
5. The perimeter of a rectangle is 178 meters. If 4 meters were added to its width, the sum is
half its length. What are its dimensions?

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