# Algebra

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1. Solve using the five-step problem-solving process. Don't forget to include the fifth check equation step of the problem- solving process in your answer.

The difference between two positive integers is 36. One integer is three times as great as the other. Find the integers.

2. Use an inequality and the five step problem-solving process. Don't forget to include the fifth check equation step of the problem- solving process in your answer.

The color guard is making new triangular flags that must have a base of 18 inches to fit on their flagpoles. What is the maximum length of the triangular flags, if they want to use a maximum of 180 in^2 of cloth?

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##### Solution Summary

The solution is comprised of detailed step-by-step calculation and explanation of the various problems related to Algebra. This solution provides students with a clear perspective of the underlying mathematical aspects.

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Please see the attachment.

1. Let the smaller integer be x.

According to the condition of the problem, the other integer is given as3x.

The difference between the two integers is 36.

Therefore,

3x - x=36

Or, ...

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- MSc, Osmania University
- MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
- BSc, Banaras Hindu University

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