System of equations


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System of equations



Hello,
My name is Carl Antaki.
Can anyone  tell me how to solve this system of equation please:
a+b=56 and lcm(a,b)=180 with a<b
I couldn't solve this using my TI-89.
I think that this type of equation can't be solved by the calculator.
Can anyone tell me how.
Thank you a lot in advance.
Carl