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Pepsi [2]
3 years ago
8

One number is 9 more than twice another. If their difference is 22, what is the larger number?

Mathematics
1 answer:
mafiozo [28]3 years ago
4 0
Let, the numbers are: x, y
So, Equations will be: x - y = 22
x = 2y + 9

Substitute the value of x in first equation, 
2y + 9 - y = 22
y = 22 - 9
y = 13

x - 13 = 22
x = 22 + 13 = 35

In short, Larger number would be 35

Hope this helps!
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So I'm going to assume that this question is asking for <u>non extraneous solutions</u>, or solutions that are found in the equation <em>and</em> are valid solutions when plugged back into the equation. So firstly, subtract 2 on both sides of the equation:

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