Given:
Three integers, a, b, and c, where c is a positive integer.
The product of a and b is 6.
The product of a and c is -4.
The product of b and c is -6.
To find:
The values of a,b and c.
Solution:
According to the given information:
...(i)
...(ii)
...(iii)
From (ii), we get
...(iv)
From (iii), we get
...(v)
Putting and
in (i), we get
Taking square root on both sides, we get
It is given that c is a positive integer. So, it cannot be negative and the only value of c is .
Putting in (iv), we get
Putting in (v), we get
Therefore, the values of a,b,c are .