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Algebra_4

Chapter 93

Problem 3

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Solve the following:

Given:
Jack cut a meter string into two pieces.
The longer piece was meters longer than the shorter piece.
How long was each piece

L (long piece) = m

S (short piece) = m


Example:

The sum of two numbers is 48. The difference
of the same two numbers is 24. What are the
the two numbers?

This can be written in shorthand form as

N1 + N2 = 48 and
N1 - N2 = 24 and

Adding the two equations gives 2N1 = 72.

So N1 = 36.

Subtracting the two equations gives 2N2 = 24.

So N2 = 12.