Bunuel wrote:
a, b and c are positive integers. If b equals the square root of a, and if c equals the sum of a and b, which of the following could be the value of c?
Indicate all such values.
A. 21
B. 30
C. 45
D. 72
E. 100
F. 331
Here
b = \(\sqrt{a}\)
or we can write as \(b^2 = a\)
Now c = a + b
or c = \(b^2\) + b
or c= b(b+1) ; now looking at the equation we need the value b as two consecutive integer then only the equation will satisfy.
Now looking at the option we find two options :-
30 as one possible option because 5 * 6 = 30 ; 5 and 6 are two consecutive integer
72 is another possible option because 8 * 9 = 72 ; 8 and 9 are two consecutive integer
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