Question

The smallest number that can be added to 56789 to make it divisible by 345 is x what is the sum of the digit of x

Answer 1

Answer:

x = 136

Sum of digits  = 10

Step-by-step explanation:

The smallest number that can be added to 56789 to make it divisible by 345 is x what is the sum of the digit of x

Let say x is added to 56789 to make it divisible by 345

56789 + x = 345 * n

where 56789 = 56580 + 209

=> 56789 = 164 * 345  + 209

to get minimum value of x  , n = 164 + 1 = 165

putting these values in equation

164 * 345  + 209 + x = 345*165

=> x + 209 = 345 * 165 - 345 * 164

=> x = 209 = 345 (165 -164)

=> x + 209 = 345

=> x = 136

Sum of digits of 136 = 1 + 3 + 6 = 10