The sum of two consecutive even integers is -134. What are the two numbers?

2x + 2x+2 = -134 4x + 2 = -134 4x = -136 |: 4 x = -34
2x = 2 * (-34) = -68 2x + 2 = -68 + 2 = -66
This numbers are -66 and -68.

Answered by Ambro | 2024-06-10

If we let x equal one of the numbers, and we let y equal the other number, we can define the equation as x + y = − 134 . Since we know, though, that the numbers are even and consecutive integers, we can say that y = x + 2 . We can then substitute our new value of y into the first equation which becomes x + x + 2 = − 134 . It can then be simplified as follows: x + x + 2 = − 134 2 x + 2 = − 134 2 x = − 136 x = − 68 .
We have now solved for x, but we still need to know what y is, so we need the equation y = x + 2 which we can evaluate and solve for y. y = x + 2 y = − 68 + 2 y = − 66 Now we have the two consecutive even integers whose sum is -134. They are -68 and -66.

Answered by teddydebevoise | 2024-06-24

The two consecutive even integers that sum to -134 are -68 and -66. The first integer is found by letting it be x , and the second is x + 2 . By solving the equation, we find both integers accurately.
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Answered by Ambro | 2024-10-01