Question

When a teacher divided the answer papers in groups of 230, she was able to make 11 sets with 11 papers remaining. How many papers were
there in total?
2541
2530
2415
5450 .
​

Answer 1

Answer:

Done using lists, very crude, not the best method

Better way is possible

DIV 4, r 3 DIV 5, r 4

7 9

11 14

15 19

19

23

First value found common to both is 19.Let "n" be the unknown number under the question.

Add 1 (one) to the number, and consider N = n+1, instead of "n".

Then the number N is a multiple of 4 (OBVIOUS).

Also, the number N is a multiple of 5 (OBVIOUS).

The only numbers lesser than or equal to 40 and multiple to 4 and 5 are the numbers 20 and 40.

Returning from "N" to "n", we have, therefore, two answers for the given problem: 19 and 39.

Solved.

Answer 2

Answer:

5450 bjvjnkbjbjvigiyigughg