Question

The least number to be added to 13851 to get a number which is divisible by 87 is

Answer 1

Solution :-

To find the least number to be added to 13851 to get a number which is divisible by 87, first we have to divide 13851 by 87.

13851 ÷ 87
         ______        
    87) 13851(159 
            87
       (-)_____
            515
            435
      (-) ______ 
              801
              783
        (-)_____
                18  -- Remainder
           _______

After dividing 13851 by 87, we get 18 as remainder.

Now,

87*159 = 13833 < 13851

87*160 = 13920 > 13851

We have to add the least number to 13851 to get a number that is exactly divided by 87 is = 13920 - 13851 = 69

Hence, 69 is the least number that is to be added to 13851 to get it exactly divisible by 87.

⇒ 13920 ÷ 87 = 160

Answer.