Question

how many whole numbers are between 42 and 54​

Answer 1

There are 11 whole numbers between 42 and 54

Given :

The whole numbers between 42 and 54

To find :

The number of whole numbers between 42 and 54

Concept :

The nth term of an AP is

aₙ = a + (n - 1 )d.

a = first term

aₙ = nth term

d = common difference.

Solution :

Step 1 of 3 :

Write down the given numbers

The whole numbers between 42 and 54 are 43 , 44 , 45 , 53

This is an arithmetic progression

Step 2 of 3 :

Write down first term and common difference

First term = a = 43

Common Difference = d = 44 - 43 = 1

Step 3 of 3 :

Find the number of terms

Let number of terms in the AP = n

Then nth term of the AP = 53

a + ( n - 1 )d = 53

⇒ 43 + ( n - 1 ) × 1 = 53

⇒ 43 + n - 1 = 53

⇒ n + 42 = 53

⇒ n = 53 - 42

⇒ n = 11

There are 11 whole numbers between 42 and 54

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