Let the two numbers be x and y; then xy=45 ...(i) x2+y2=106 ...(ii) (x+y)2=x2+y2+2xy=106+2×45=196 ∴x+y=14 ...(iii) Now, (x−y)2=x2+y2−2xy=106−2×45=16 ∴(x−y)=4 ...(iv) Solving equations (iii) and (iv), we get x = 9 and y = 5 Hence, numbers are 9, 5.