Question

How many numbers between 50 to 150 are divisible by 8

Answer 1

Answer:

12

Step-by-step explanation:

56,64,72,80,88,96,104,112,120,128,136,144

Answer 2

Total 12 numbers are present between 50 to 150 are divisible by 8.

Given:

• Numbers from 50 to 150.

To find:

• How many numbers between 50 to 150 are divisible by 8.

Solution:

Concept/Formula to be used:

• Write A.P.
• General term of AP:$\bf a_n = a + (n - 1)d$

Step 1:

Generate AP.

First number after 50 which is divisible by 8 is 56.

Last number before 150 which is divisible by 8 is 144.

Thus,

AP formed is 56, 64,..., 144.

Step 2:

Write the values in the formula and find n.

here

a= 56

d= 8

a_n= 144

So,

$144 = 56 + (n - 1)8$

or

$(n - 1)8 = 144 - 56$

or

$n - 1 = \frac{88}{8}$

or

$n - 1 = 11$

or

$\bf n = 12$

Thus,

Total 12 numbers are present between 50 to 150 are divisible by 8.

Learn more:

1) find The 21st term of the A.P -4*1/2,-3,-1*1/2

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2) Find the sum of all 3 digit natural multiples of 6.

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