Question

When a certain number is multiplied by 13, the product consists entirely of fives. Find
such smallest number.​

Answer 1

Let the number = x

According to question

x × 13 = A number consists of fives

x = $\dfrac{A\: number \:consists \:of\: fives}{13}$

Using Hit and Trail method

First:

Let take number be 55

x = $\dfrac{55}{13}$

x = 4.231

Second:

Let the number be 555

x = $\dfrac{555}{13}$

x = 42.692

Third:

Let the number be 5555

x = $\dfrac{5555}{13}$

x = 427.308

Fourth:

Let the number be 55555

x = $\dfrac{55555}{13}$

x = 4273.462

Fifth:

Let the number be 555555

x = $\dfrac{555555}{13}$

x = 42735

Therefore, the smallest number is 42,735.

Answer 2

Here Is Your Ans ⤵

****

AnsWer :- 42735

Solution :-

By hit and trial , we find that a number exactly divisible by 13 and consisting entirely of fives is 555555

On dividing 555555 by 13 we get 42735 as a quotient

So , Our Required number Is 42735

**********

$<marquee > hope it helps u$