Question

The sum of three numbers is 45. The second of the three numbers is three more than twice the first number, x. Thethird number is two more than the first number, x. Which equation can be used to solve for the first number, X?0x + 5x + x + 2 = 45O x + x + 3 + x + 2 = 45x + 3x + 2 + x + 2 = 45O x + 2x + 3 + x + 2 = 45

Answer 1

x + 2x + 3 + x + 2 = 45

Explanation:

This question can be solved using a system of equations.

I am going to say that

The first value is x.

The second is y.

The third is z.

The sum of three numbers is 45.

This means that:

x + y + z = 45

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

This means that:

y = 3 + 2x

The third number is two more than the first number x:

This means that:

z = 2 + x

Replacing in the first equation:

x + y + z = 45

x + 3 + 2x + 2 + x = 45

x + 2x + 3 + x + 2 = 45