Question

how many multiple are there in 5 between 5 and 250 ? i want with methods​

Answer 1

Answer:

This question can be solved by using the concept of Arithmetic Progressions (A.P.). The first multiple is 5. (a = first term, d = common difference, l = last term) and n = number of terms)

So, a = 5.

Now,d = 5.

The last multiple of 5 between 1 and 100 is 95.

So, l = 95.

A.P. = 5, 10, 15,……., 95

Using formula(l = a + d(n - 1)),we get

95 = 5 + 5(n-1)

n-1 = 90/5

n = 18 + 1

n = 19;

Hence,there are 19 multiples of 5 between 1 and 100.

Answer 2

Answer:

There are 40 multiples of 5 in between 50 and 250

Solution:

Given, lower range = 50 and higher range = 250.

We have to find the number of multiples of 5 in that range.

Now, first let us find number of multiples of 5 in between 1 to 50 and between 1 to 250.

Then, after subtracting number of multiples between 1 to 50 from 1 to 250, gives our required answer.

So, 5 multiples between 1 to 50 = \frac{50}{5} = 10=550=10

Now, 5 multiples between 1 to 250 = \frac{250}{5} = 50=5250=50

Then, number of multiples of 5 between 50 and 250 = 50 – 10 = 40.

Hence, there are 40 multiples of 5 in between 50 and 250.