233k views
12 votes
how many solutions does the problem c*r*(a+f+t)=21 have if different letters represent different digits

2 Answers

7 votes

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.

User Pradyumna Challa
by
3.1k points
2 votes

Answer: 12

Explanation:

21 = 21 x1 3x7

=1x3 expand over3= 12

User Quang Vinh
by
3.6k points