Answer: 28 and 30
Explanation:
Consecutive even numbers are even numbers which follow each other in order, without gaps, from smallest to largest.
Let the numbers be :
and
![x+2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/9k4cll874sz35134zsbzj3rrpbs46ewatt.png)
Therefore:
![x+x+2=58](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6iztxcq0ogx3mrlrng8t3n09o7bh2h8vm1.png)
we have :
![2x+2=58](https://img.qammunity.org/2021/formulas/mathematics/middle-school/tyik8k8sdwjhayng54yg66ysk3w2qv57jb.png)
subtract 2 from both sides
![2x = 58-2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3j8e2mj8ztatdihbqvqz5pnexrbxzozv6c.png)
![2x = 56](https://img.qammunity.org/2021/formulas/mathematics/middle-school/y2merxc6djsse92hqq1ttxeb1qctznyj8o.png)
Divide both sides by 2
![x = 28](https://img.qammunity.org/2021/formulas/mathematics/middle-school/twnm8vdqtdqp9bhc19ltscyces1vf8bgz5.png)
therefore , the second number will be
, which will be
![30](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ic8vb4rttadi3ghaf42rhc5mp1ozzmr4qg.png)