Find three whole numbers with the sum 147, knowing that the quotient of the second and first is 2 and the remainder 3 and the quotient of the third with the second is 3 and the remainder 2. Here's what i did:
a+b+c=147
b=2a+3
c=3b+2
I put the in system::
$$-2a+b=3$$
$$-3b+c=2$$
$$a+b+c=147$$
a is not a whole number. Could you tell me where am I wrong?