## How to Edit and draw up Math 19a Or 20a Online

Read the following instructions to use CocoDoc to start editing and writing your Math 19a Or 20a:

- At first, look for the “Get Form” button and press it.
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## The Easiest Editing Tool for Modifying Math 19a Or 20a on Your Way

## How to Edit Your PDF Math 19a Or 20a Online

Editing your form online is quite effortless. There is no need to download any software via your computer or phone to use this feature. CocoDoc offers an easy tool to edit your document directly through any web browser you use. The entire interface is well-organized.

Follow the step-by-step guide below to eidt your PDF files online:

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## How to Edit Math 19a Or 20a on Windows

Windows is the most conventional operating system. However, Windows does not contain any default application that can directly edit PDF. In this case, you can download CocoDoc's desktop software for Windows, which can help you to work on documents effectively.

All you have to do is follow the steps below:

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## How to Edit Math 19a Or 20a on Mac

macOS comes with a default feature - Preview, to open PDF files. Although Mac users can view PDF files and even mark text on it, it does not support editing. Through CocoDoc, you can edit your document on Mac quickly.

Follow the effortless guidelines below to start editing:

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## How to Edit PDF Math 19a Or 20a via G Suite

G Suite is a conventional Google's suite of intelligent apps, which is designed to make your work faster and increase collaboration within teams. Integrating CocoDoc's PDF document editor with G Suite can help to accomplish work handily.

Here are the steps to do it:

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## PDF Editor FAQ

## What is A in numbers, if A= 5B+7, and B = 4 (20+A)?

A= 5B+7, and B = 4 (20+A)=> [math]A= 5(4)(20+A)+7[/math][math]=>[/math][math]A=400+20A +7[/math]=> 19A=-407 => [math]\frac{-407}{19}[/math]

## AB + 2 = A9; AB x 2 = 9A Question: Which figures represent A and B? (AB is a two-digit number)?

[math]10A+B+2=10A+9[/math][math]B=7[/math][math](10A+7)×2=90+A[/math][math]20A+14=90+A[/math][math]19A=90-14[/math][math]A=76/19[/math][math]A=4[/math][math]Then AB(two-digit number) is 47[/math]

## Let x and y be positive integers such that 19x^20 = 17y^19. The minimum value of x has a prime factorisation (a^b) (c^d). What is a+b+c+d?

We are to solve:[math]19n^{20}=17m^{19}[/math]with [math]n,m \in \mathbb{N}[/math].Since [math]\text{gcd}(19,17)=1[/math] we need to have:[math]19|m,\,17|n[/math].It is easy to see that we should choose the following templates:[math]n=17^a 19^b,\, m=17^c 19^d[/math]Substitute into the given equation and derive:[math]17^{20a}19^{20b+1}=17^{19c+1}19^{19d}[/math]We therefore need to have:[math]20a=19c+1,\,20b+1=19d[/math]Or:[math]19a+a=19c+1[/math] giving [math]a=1,\,c=1[/math]and[math]19b+b+1=19d[/math] or [math]19(d-b)=b+1[/math].The smallest value for [math]d-b[/math] equals [math]1[/math].This gives [math]b+1=19[/math] or [math]b=18,\,d=19[/math].We thus have:[math]n=17^{1}19^{18}[/math]The requested value is thus:[math]3\cdot18+1=55[/math]I chose different characters. Sorry… Furthermore you need to add an argument that these choices actually minimize [math]17+19+a+b[/math].

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