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juin [17]
3 years ago
11

The sum of three numbers is 81.The first number is 11 less than the second. The third number is 6 more than twice the first. Wha

t is the largest of the three numbers?
Mathematics
1 answer:
Sloan [31]3 years ago
5 0

n - the first number

n + 11 - the second number

2n + 6 - the third number

81 - the sum of three numbers

The equation:

n + (n + 11) + (2n + 6) = 81

n + n + 11 + 2n + 6 = 81     <em>combine like terms</em>

(n + n + 2n) + (11 + 6) = 81

4n + 17 = 81      <em>subtract 17 from both sides</em>

4n = 64       <em>divide both sides by 4</em>

n = 16

the largest of the tree numbers is the third number 2n + 6.

Substitute the value of n:

2(16) + 6 = 32 + 6 = 38

<h3>Answer: 38</h3>
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