Question

let A and B and C be the three distinct positive integers such that the sum of any two of them is a perfect square having minimum sum a + b + c find the sum​

Answer 1

Answer:

st.1 as a,b,c>0 thus all three of them must be less than 5. because if any of the number a,b,c becomes 5. then the value of a+b+c will be greater than 7.

thus three numbers will be less than 5. so possible values available for a,b,c are 1,2,3,4. of these possible values only 1,2,4 results in the some of 7. thus product of a,b,c will be 1*2*4=8

st.2 again, if any of the number a,b,c becomes 5 or bigger then the sum of ab+bc+ca will be greater than 5. hence a,b,c will be less than 5.

from the possible set of values of a,b,c only 1,2,4 results in the sum of 14. hence product of a,b,c will be 1*2*4 =8

as statement alone is sufficient to answer the question. hence answer should be D.

Step-by-step explanation:

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