5. Let x = a + b – c, y = a + c – b and z = b + c – a, where a, b and c are prime numbers. Given that x2 = y and ( z− y) is the square of a prime number, find the value of the product abc. Solution: abc=3*23*29=2001

LET X = A + B – C, Y = A + C – B AND Z = B + C – A, WHERE A, B AND...

Toán ĐỀ THI OLYMPIC TOÁN TMO VÒNG ĐỒNG ĐỘI

Let x = a + b – c, y = a + c – b and z = b + c – a, where a, b and c are prime numbers. Given that x

= y

and

(

⁻

)

is the square of a prime number, find the value of the product abc.

Solution:

abc=3*23*29=2001