One+One+One+One=Four

Algebra Level pending

O N E + O N E + O N E + O N E = F O U R ONE+ONE+ONE+ONE=FOUR . Find the sum of the greatest and least possible value of F O U R FOUR (Different letters stand for different digits)


The answer is 5244.

Ephram Chun by Ephram Chun , 16, USA

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1 solution

Ephram Chun
Jan 26, 2021

The maximum is 3940 3940 and the minimum is 1304 1304 thus the answer is 3940 + 1304 = 5244 3940+1304=\boxed{5244}

0 Helpful 0 Interesting 0 Brilliant 2 Confused

How did you come up with these two numbers?

Pi Han Goh - 4 months, 2 weeks ago

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  • for biggest one, O=9 and N=8, then FOUR can be 39xx.
  • for smallest one, O=3 and ONE > 325, then can easy to get ONE = 326 for few trying.

Hongqi Wang - 4 months, 2 weeks ago

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