# HOW TO SOLVE PROBLEMS ON NUMBERS

## About the topic "How to solve problems on numbers"

"How to solve problems on numbers ?" is a big question having had by all the students who study quantitative aptitude to get prepared for competitive exams.For some students, solving problems on numbers is never being easy and always it is a challenging one for any student.

## How to solve problems on numbers ?

The get answer  for the question "How to solve problems on numbers ? "is purely depending upon the question that we have in the topic "Problems on Numbers". The techniques and methods we apply to solve problems on numbers will vary from problem to problem.

The techniques and methods we apply to solve a particular  problem  will not work for another problem in this topic.

Even though we have different techniques to solve word problems in different topics of math, let us see a problem on numbers and how it can be solved.

## Steps involved in solving a problem on numbers

To get answer for the question "How to solve problems on numbers ? ", let us look at the steps involved in solving the  problem given below on numbers.

Problem:

If a number when divided by 296 gives a remainder 75, find the remainder when 37 divides the same number.

Solution:

Step 1 :

Let us understand the given information. There is only one  information given in the question.

When a number is divided by 296 gives a remainder 75.

Step 2 :

Target of the question: Find the remainder when 37 divides the same number.

Step 3 :

Let "x" be the given number.

We have to find the remainder, when "x" is divided by 37.

(Do remember, our aim is not to get the value of "x")

Step 4 :

When "x" is divided by 296, the remainder is 75.

Let "k" be the quotient when "x" is divided by 296.

Then, we have

x  =  296k + 75

In the above equation, "296" is divisor and  "75" is remainder.

Step 5 :

We want to find the remainder when we divide the same number "x" by 37.  To do this, we need to have 37 at the place where we have "296"  in the above equation.

So we can write 296 as 37 times 8 and 75 as 37 times 2 plus 1.

It is shown below.

x  =  296k + 75

x  =  (37x8)k + (37x2 + 1)

x  = 37x8k + 37x2 + 1

x  = 37(8k+2) + 1

Step 6 :

Clearly, the above equation says that when the number "x" is divided by 37, the remainder is "1".

Therefore, when 37 divides the given number, remainder is "1".

We hope that students have received answer for the question "How to solve problems on numbers ?" when they look at the steps explained in the above problem on numbers.

And also we hope that hereafter student will not search answer for the question "How to solve problems on numbers ?" Please click the below links to know "How to solve word problems in each of the given topics"

1. Solving Word Problems on Simple Equations

2. Solving Word Problems on Simultaneous Equations

3. Solving Word Problems on Quadratic Equations

4. Solving Word Problems on Permutations and Combinations

5. Solving Word Problems on HCF and LCM

7. Solving Word Problems on Time and Work

8. Solving Word Problems on Trains

9. Solving Word Problems on Time and Work.

10. Solving Word Problems on Ages.

11.Solving Word Problems on Ratio and Proportion

12.Solving Word Problems on Allegation and Mixtures.

13. Solving Word Problems on Percentage

14. Solving Word Problems on Profit and Loss

15. Solving Word Problems Partnership

16. Solving Word Problems on Simple Interest

17. Solving Word Problems on Compound Interest

18. Solving Word Problems on Calendar

19. Solving Word Problems on Clock

20. Solving Word Problems on Pipes and Cisterns

21. Solving Word Problems on Modular Arithmetic

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