Question

How many three-digit numbers are divisible by $87$ ?

Answer 1

To find: 3 digit number divisible by 8!

Lowest digit number = $87\times 2$

$=174$

highest 3 digit number = $87\times 11=957$

applying arithmetic series

$l=a+(n-1)d$ [where, l = last no a = fist no d = difference between number]

$957=174+(n-1)\times 87$

$n=10$

Therefore, there are 10; 3 digit numbers divisible by 87