Question

The 14 digits of a credit card are written in the boxes shown. If the sum of any three consecutive digits is 16, what is the

value of A?
A =

Please show work.

Answer 1

3.

Explanation:

1) in the given sequence position no. 13 can be calculated easy:

16-(6+7)=3 (see the attachment), then

2) it is possible to calculate the position no. 11 (=7), then no.10(=3), then no.9 (=6), then it is visible repeating of subsequence '637', it means

3) the number of the given credit card is

37637637637637;

4) finally, the value of A is 3.