465,510 views
0 votes
0 votes
In how many ways could the blanks below (marked with []) be filled if all the coefficients must be positive integers? []a + []b + []a = 10a + 7b

User Virendra Jadeja
by
3.3k points

1 Answer

21 votes
21 votes

5 times.

1a + 7b + 9a = 10a + 7b

2a + 7b + 8a = 10a + 7b

3a + 7b + 7a = 10a + 7b

4a + 7b + 6a = 10a + 7b

5a + 7b + 5a = 10a + 7b

User Qerub
by
3.2k points