Math, asked by jhosuax, 10 months ago

A, BB y CD son tres números primos formados con los dígitos 1,2,3,4 y 7. descubrirlos es la suma A2 + BB2 + CD2 es igual a 2019

Answers

Answered by amitnrw
0

Answer:

A = 7

BB = 11

CD = 43

Step-by-step explanation:

Such Problems can be solved by hit and trial method

sum of 3 squares ending up in 9

Square of any number will end at 1 , 9   as 2 or 4 can not be at unit place as Prime numbers

two digit at unit place must be 3 & 7  and one should be  1

so that 9 + 9 + 1 = 19 ends with 9 at unit place in 2019

11² + 23² + 37²

= 121  + 529 + 1369

= 2019

but  there should be one single digit also

lets try another solution

7²  + 11²   + 43²

= 49 + 121 + 1849

= 2019

it meets all the requirements

hence

A = 7

BB = 11

CD = 43

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