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Introduction to Algebra
6th Maths : Term 1 Unit 2 | Chapter 2
Solving unknowns through examples
Let us fill up the empty boxes
The 
stands for an unknown number.
To make the equations meaningful, we shall write 5 in the first box, we shall write 7 in the second box and we shall write 6 in the third box.
Try these
Find the unknown.
Example 2.1
Suppose that there are some eggs in a tray. If 6 eggs are taken out from it and still 10 eggs are remaining, how many eggs are there in the tray?
According to the given statement,
This can be written as, x – 6 gives 10, where ‘x’ denotes the unknown number.
Now, we will find out for what value of ‘x’, x − 6 gives 10.
Hence, the unknown number (variable) ‘x’ takes the value 16.
Try this
Find the suitable value of ‘m’, to get a sum of 9?
Example 2.2
Athiyan and Mugilan are brothers. Athiyan is ‘p’ years old and Mugilan is elder to Athiyan by 6 years. Write an algebraic statement for this and find the age of Mugilan if Athiyan is 20 years old.
Age of Athiyan = ‘p’ years
Age of Mugilan = ‘p + 6’ years (algebraic statement)
If p = 20, then Mugilan’s age is = 20 + 6
= 26 years.
