Letters For Digits
Chapter Name : Playing With Numbers |
Sub Topic Code : 104_08_16_04_01 |
Topic Name : Letters For Digits |
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Sub Topic Name : Letters For Digits |
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Introduction
Finding the digits which are replaced by letters.
Pre-Requisites:
Basic knowledge of divisor and multiple.
Activity:
If sum of two 2digit numbers gives a 3 digit number then hundreds coefficient of the resultant 3 digit number is always 1.
Real Life Question:
A merchant sends his two sons to get some money, but they should not reveal to each other. When his sons bring the money and give to him. He conceals the total amount of money and gives a puzzle.1st son? Rs AB and 2nd son ?Rs BC total is AAA, where A, B, C are unique numbers. Find out A,B,C.
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| General form of ab is | 10*a+b |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Number tricks | Try tricks by writing numbers sum or product and then replacing by letters. Like 17+91=108 ? AB+CA = A08 find A,B,C |
Real life uses :
Tricky puzzles to quiz.
Practical examples around us
| Examples | Explainations |
|---|---|
| AB+BC = AAA find A,B,C | Newly 3 digit number is formed. The hundreds digit is the result of carry from the sum of tens digit. Therefore A=1. Check units tens digit. A+B=10+A or A+B+1=10+A(if there is a carry from units place).obviously B cannot be 10.therefore B=9.units place B+C=10+A.So C=2. |
What you learn in Theory:
Replacing numbers with letters.
What you learn in Practice:
Lots of fun finding the hidden number.