## PCSR Civil Service Exam Review Guide 9

PART I: MATH

A. Youtube Videos (All videos are in Taglish)

How to Solve Number Problems Mentally

How to Solve Word Number Problems

How to Solve Consecutive Number Problems

B. Articles. You can read the articles below.

How to Solve Number Word Problems

How to Solve Consecutive Number Problems

Part II ENGLISH

A. Vocabulary

Civil Service Exam Vocabulary Review 8

B. Grammar and Correct Usage

## How to Solve Number Word Problems Part 1

In the previous post, we have learned How to Solve Number Problems Mentally. In this post, we are going to solve the same word problems algebraically. The objective of this post is for you to be able to learn how to set up equations based on given problems. Once you know how to set up equations for easy problems, it will be easier for you to do so using harder problems which we will discuss in the latter parts of this series. Note that before solving these problems, it is already assumed that you know how to solve equations.

Problem 1

One number is 3 more than the other. Their sum is 45. What are the numbers?

Scratch Work

The strategy in solving algebraic problems is to take a specific case. For instance, in the problem above, if one number is say, $5$, then the larger number is $5 + 3$ because it is $3$ greater than the first number. Since we do not know the numbers yet, we can represent the smaller number by $x$ and the larger number by $x + 3$. » Read more 