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I. Number Problem

The sum of two numbers is 25, and one number is four times the other number. Find the numbers.

II. Age Problem

Sam is eight years older than his brother. Seven years ago, Sam was twice as old as his brother. How old is Sam now?

III. Geometry Problem

Susan has 600 feet of fencing to use in making a yard for her new puppy. The yard she has planned has a length that is 75 feet less than twice the width. What are the dimensions of the yard?

IV. Interest Problem

Beth is planning on investing her 12,000 bonus, putting some in an account earning 7% and the rest in an account earning 5%. How much should she put in each account to have a total of $760 interest?

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Assignment topic - abstract algebraq1 let r be the ring of

Assignment Topic - Abstract Algebra Q1: Let R be the ring of all 2 X 2 matrices over Z p , p is a prime. Let G be the set of elements x in the ring R such that det(x) ≠ 0. Find the order of G. Q2: If R is a commutative r ...

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