The number of ordered triples (a,b,c) of positive integers which satisfy the simultaneous equations ab + bc = 44 and ac + bc = 23 is

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Solution

The correct option is B
2

1.Given b . (a + c) = 44 ; c . (a + b) = 23 being a prime number.

∴ The given equations reduces to b . (a + c) = 44 ; a + b = 23.

The solutions are : b = 2, a = 21 and b = 22, a = 1.

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