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Find three consecutive odd Integers such that the sum of the largest and twice the smallest is 25.x represents the smallest integer, then which equation could be used to solve the problem?

Respuesta :

ANSWER

7, 9, 11

EXPLANATION

We want to find three consecutive odd numbers.

Let the smallest number be x.

Then, the next odd number is (x + 2).

The last odd number is (x + 4).

The sum of the largest odd number and twice the smallest number is 25:

(x + 4) + 2x = 25

=> x + 4 + 2x = 25

3x + 4 = 25

3x = 25 - 4

3x = 21

x = 21 / 3

x = 7

Therefore, the three consecutive numbers are:

7

(7 + 2) = 9

(7 + 4) = 11

They are 7, 9, 11