How many two-digit numbers yield a remainder of 1 when divided by both 6 and 15?
How many two-digit numbers yield a remainder of 1 when divided by both 6 and 15?
Answer/Solution
2
Steps/Work
Easier to start with numbers that are of the form 15p+1 ---> 16,31,46,61,76,91.
Out of these 2 (31,61) are also of the form 6q+1. Thus 2 is the answer. C is the correct answer.
Out of these 2 (31,61) are also of the form 6q+1. Thus 2 is the answer. C is the correct answer.