Question

What is the sum of all two digit numbers that give a remainder 3 , when they are divided

Answer 1

Answer:

The two digit number which gives a remainder of 3 when divided by 7 are:

10, 17, 24 ..... 94.

Now, these number are in AP series with

1st Term, a = 10;

Number of Terms, n = 13;

Last term, L = 94 and

Common Difference, d = 7.

Sum,

={n×a+L2}=13×52=676