Consider the following Egyptian algebra problem: A quantity and its 1/6 added together become 63. What is the quantity?

a. First translate this equation into an equation of the form x=1ax=b\displaystyle {x}=\frac{{1}}{{a}}{x}={b} and then use standard, “modern” algebra to solve it. Show your steps.

b. Next, use the method of false position to solve the same problem. Your answer MUST be written in the form a scribe would have, including ALL intermediate computations and comments to get to a final answer. No credit will be given for another kind of solution. See Example 23 for a guide on how to write up the problem as a scribe would. All parts should be included and your answer should match what you found in part [a] above.

You need to SHOW your work for this problem carefully. You should start your work at the top of a clean sheet of lined paper. Your work should be neat and organized so that I can understand your steps and your logic. When you are done, take a picture of your work with a camera or scan your work into picture form. Then use the "Insert/Edit" image button (tree) to post your picture below. (See the direction sheet or video from the beginning of the course to review how to do this.) This problem will not be graded until after the assignment due date.