Question

I am a 4 digit number larger than 2500. No two of my digits are the same. The product of the thousands digit and the hundreds digit is equal to the ones digit. The sum of my digits is 16

Answer 1

The 4-digit number will be 3256.

Let, the 4-digit number pqrs

p >= 2

p × q = s

so, 2 <= q <= 4 to allow a single digit result of p×q, and if q would be 1 or 0, the result would be either a copy of p or of q violating the rule that no 2 digits are the same.

that means p >= 3, because with p = 2 and q <= 4 the number can't be larger than 2500.

and that again means 2 <= q <= 3 and 3 <= p <= 4 to allow a single digit result of p×q.

the sum of "my digit" ? I guess you mean the sum of all digits is 16.

p + q + r + s = 16

so, our first guess :

p = 3

q = 2

therefore

s = 3×2 = 6

that means we have already 11 as sum of the digits, that leaves 5 for r.

so, the 4-digit number will be = 3256.

To Learn more about similar 4-digit number questions:

https://brainly.com/question/28614479

#SPJ4