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The sum of three numbers is 45. the second of the three numbers is three more than twice the first number, x. the third number is two more than the first number, x. which equation can be used to solve for the first number, x? x 5x x 2 = 45 x x 3 x 2 = 45 x 3x 2 x 2 = 45 x 2x 3 x 2 = 45



Answer :

The equation which is used to solve for the firxt number, x is x + 3 + 2x + 2 + x = 45.

Let the three numbers be x, y and z.

According to the given question.

The sum of three numbers is 45.

The second of the three numbers is three more than twice the first number, x.

⇒ y = 3 + 2x

And the third number is two more than the first number, x.

z = 2 + x

Since, the sum of the three numbers is 45.

Therefore,

x + y + z = 45

⇒ x + 3 + 2x + 2 + x = 45

⇒ 4x + 5 = 45

⇒ 4x = 45 - 5

⇒ 4x = 40

⇒ x = 40/4

⇒ x = 10

Hence, the equation which is used to solve for the firxt number, x is x + 3 + 2x + 2 + x = 45.

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