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### Algebra and Fractions

```
Date: 08/30/97 at 16:20:56
From: Annie
Subject: Help me!

1) The sum of two-thirds and one-ninth of a number is 28.
Find the number N.

2) When two-fifths of the number N is added to one-eighth of
a number N, the total is 63.  Find the number.

3) The sum of one-third and one-fourth of a number N is 141.
What is this number?
```

```
Date: 08/30/97 at 17:42:31
From: Doctor Anthony
Subject: Re: Help me!

>1) The sum of two-thirds and one-ninth of a number is 28.
>   Find the number N.

Write the information given as an equation and solve it.

(2/3)N + (1/9)N = 28

(7/9)N = 28

28 x 9
N = --------   =  36
7

>2) When two-fifths of the number N is added to one-eighth of
>   a number N, the total is 63.  Find the number.

(2/5)N + (1/8)N = 63

(21/40)N = 63

63 x 40
N = ---------   =  120
21

>3) The sum of one-third and one-fourth of a number N is 141.
>   What is this number?

(1/3)N + (1/4)N = 141

(7/12)N = 141

This does not give an integer value for N and I suspect you have
copied down the question incorrectly, but you can probably work it out
for yourself now, using the methods that I have shown you above.

-Doctor Anthony,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
Middle School Algebra
Middle School Fractions

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