Math, asked by Danisa6842, 7 months ago

How many numbers between 222 and 444 end with 0

Answers

Answered by palakdhiman05
22

Answer:

First you have - 230, 240,.......290 i.e 7

then 300, 310,......390 i.e 10

then 400, 410, 420,430,440 i.e 5

So, 7+10+5=22

Answer - 22

Step-by-step explanation:

Hope this will help you.

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Answered by Anonymous
0

Given : The range of the number is, 222 to 444

To find : How many numbers in the given range end with 0?

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to determine the number of numbers which end with 0)

The numbers which end with 0 in the given range are :

= 230,240,250,...,430,440

Every consecutive numbers in the above mentioned series have a common difference of 10 (240 - 230 = 10 ; 440-430 = 10 etc.) , and that's why this can be considered to be an AP series.

Let, there are n numbers in the said AP series.

Now, the nth term will be = a+ (n-1) × d

Where,

  • nth term = 440
  • a = First term of AP = 230
  • d = common difference = 10

By, putting all the data in the above mentioned mathematical formula, we get :

440 = 230 + (n-1) × 10

440 = 230 + 10n - 10

440 = 220 + 10n

10n = 440 - 220

10n = 220

n = 220/10

n = 22

So, the number of terms = n = 22

Hence, there are 22 numbers between 222 and 444 which end with 0

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