If 15 is congruent to x modulo 6, what is the value of x?
Practice Questions
Q1
If 15 is congruent to x modulo 6, what is the value of x?
3
9
15
21
Questions & Step-by-Step Solutions
If 15 is congruent to x modulo 6, what is the value of x?
Step 1: Understand what 'congruent modulo' means. It means that two numbers have the same remainder when divided by a certain number (in this case, 6).
Step 2: Calculate 15 mod 6. This means we need to divide 15 by 6 and find the remainder.
Step 3: Divide 15 by 6. The result is 2 with a remainder.
Step 4: Calculate the remainder. 6 times 2 is 12. Now subtract 12 from 15: 15 - 12 = 3.
Step 5: The remainder is 3. This means 15 is congruent to 3 modulo 6.
Step 6: Therefore, x is equal to 3.
Modular Arithmetic – Understanding how to find the remainder when one number is divided by another.
