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13-11-2020
Mathematics

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The sum of two consecutive even integers is 48 less than 3 times the largest integer. Find both integers algebraically.

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mhanifa mhanifa

14-11-2020

Answer:

44 and 46

Step-by-step explanation:

Let the integers be:

n and n + 2

Then we have:

n + n + 2 = 3(n + 2) - 48

Solving for n:

2n + 2 = 3n + 6 - 48
3n - 2n = 2 + 48 - 6
n = 44

So the numbers are 44 and 46

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