Question

Arden’s Grandpa tries to challenge him in his mathematics studies by creating problems for him to solve. For one problem, Grandpa said, “I am thinking of some positive integer, let’s call it k, which I then multiply by the number 1357 and I end up with a product whose final four digits are 9502. Find the smallest value of k that will make this work.”

Answer 1

Answer:

7

Step-by-step explanation:

Positive integer = k

If Arden's Grandpa multiplies the integer by the number 1357, or will become 1375 × k = 1375k

If he ends up with a four digits result of 9502, to get the least value of k that will make it work, we will equate 1357k to 9502.

1357k ≥ 9502 (since we need the least value, this also means k can be greater than this value).

Divide both sides by 1357

1357k ≥ 9502

1357k/1357 ≥ 9502/1357

k ≥ 7.00

Hence the smallest value of k that will make this work is 7