Question

I thought of a two-digit number. The unit digit of my number is 7 more than the tens digit cubed. What is my number?

Example: 110=2∙5∙11. Factors of 110:1, 2, 5, 11, 2∙5, 2∙11, 5·11, 2∙5∙11.

Problem : 1001=7∙11∙13

Answer 1

9514 1404 393

Answer:

18

Explanation:

Only 1 and 2 will have single-digit cubes. Only 1^3 will still be a single digit after 7 is added. The tens digit must be 1, and the units digit must be 1+7=8.

The number is 18.