How many solutions does the problem cr(a+f+t)=21 have if different letters represent different digits

Question

asked Sep 12, 2022 233k views

2 Answers

Pradyumna Challa · Answer 1 · 2022-09-13T22:31:43+0000

Explanation:

Factors of 21 are 1, 3, 7 and 21.

a + f + t cannot be 1 or 3 as it cannot be written as a sum of 3 distinct digits, so it is 7.

The smallest 3 remaining digits are 2, 5 and 6 which add to 13.

So there are no solutions.