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15-09-2018
Mathematics

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Find two consecutive even integers such that the smaller added to three times the larger gives a sum of 46.

Respuesta :

15-09-2018

n, n + 2 - two consecutive even integers

The equation:

[tex]n+3(n+2)=46[/tex]

Solution:

Use distributive property: a(b + c) = ab + ac

[tex]n+(3)(n)+(3)(2)=46\\\\n+3n+6=46\ \ \ \ |-6\\\\4n=40\ \ \ \ |:4\\\\n=10\\\\n+2=12[/tex]

Answer: 10 and 12

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