## What is the Five Digit Number?

What 5-digit number satisfies the following requirements?

1. No zeroes
2. First two digits are the same
3. Fourth digit is twice the first
4. Last digit is twice the third
5. Sum of all digits is 18

33264.

There are several ways of solving this. One way is to represent each spot with a letter, A – E.

Then you have these equations:

A = B
D = 2 * A
E = 2 * C
A + B + C + D + E = 18

By simplifying, you get:

4 * A + 3 * C = 18

Plug in values for A and C to find that A = 3 C = 2.

Posted in Brain Teasers

5 Comments on "What is the Five Digit Number?"

swathi says
June 15, 2015 @ 13:08

33264

November 30, 2016 @ 19:40

My number was 11,111 and I did all the requirements. My final number is 11,123. It all summed up into the number eight.

abhishek says
February 14, 2017 @ 04:34

33264

Solver says
November 20, 2018 @ 10:17

2,5 + 1.5 + 3 + 5 + 6 = 18

Chendalea says
May 11, 2020 @ 17:03

What is a largest 5-digit number. It has to be even.

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