Question

When the positive integers a,b,c are divided by 13 the repestive remainder 9,7and 10.find the reminder when a+2b+3c is divided by 13

Answer 1

Answer:

0

Step-by-step explanation:

a/13=9

a=9*13

a=117

b/13=7

b=7*13

b=91)

c/13=10

c=10*13

c=130

a+2b+3c /13

=117 + 2(91) + 3(130) /13

=117 + 182 + 390 /13

= 689/13

= 53

Therefore, the remainder when a+2b+3c is divided by 13 is 0