Introduction To Algebra : Solving unknowns through examples

**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.**

Tags : Introduction to Algebra | Term 1 Chapter 2 | 6th Maths , 6th Maths : Term 1 Unit 2 : Introduction To Algebra

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6th Maths : Term 1 Unit 2 : Introduction To Algebra : Solving unknowns through examples | Introduction to Algebra | Term 1 Chapter 2 | 6th Maths

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