What is the sum of all two digit numbers that gives a remainder of 3 when they are divided by 7?

1666
2676
3683
4777

Answer:- 1

Explanation:-

Solution:

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,

\begin{aligned} = {n \times \frac{a + L}{2}} \\ = 13 \times 52 \\ = 676 \end{aligned}

$\eqalign{ & = \left\{ {{\text{n}} \times \frac{{{\text{a}} + {\text{L}}}}{2}} \right\} \cr & = 13 \times 52 \cr & = 676 \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} = {n \times \frac{a + L}{2}} \\ = 13 \times 52 \\ = 676 \end{aligned}

$\eqalign{ & = \left\{ {{\text{n}} \times \frac{{{\text{a}} + {\text{L}}}}{2}} \right\} \cr & = 13 \times 52 \cr & = 676 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }