Answer:
7 and 8
Explanation:
Given The sum of two consecutive integers is at least 14.
Let the two consecutive digits be x and x+1
The condition that should be satisfied by these numbers is that their sum must be atleast 14.
![x+(x+1)\geq 14](https://img.qammunity.org/2020/formulas/mathematics/high-school/bly6y14krvzyrnktrkn6r2ie4d2kskkzs6.png)
![2x+1\geq 14](https://img.qammunity.org/2020/formulas/mathematics/high-school/xtssifzcciwcy3wrpvn0dntvmldd509366.png)
![2x\geq 13](https://img.qammunity.org/2020/formulas/mathematics/high-school/lchvzmqabouthofvocuz1n62flozzxyqlw.png)
![x\geq (13)/(2)](https://img.qammunity.org/2020/formulas/mathematics/high-school/hzexce3lidefv8jgwbl7a95uu3wvjlb2j1.png)
![x\geq 6.5](https://img.qammunity.org/2020/formulas/mathematics/high-school/wguyyxeryowc5z7siz7jcle3co28llee0l.png)
Since x is an integer x=7 and the other digit is 8.