Answer Verified> Solution Let the two natural numbers be x and y X+y=8 X=8-y ---(Equation-1) 1x+1y=815 ---(Equation -2) We get, 1x+1y=815 18−y+1y=815 y+8−y(8−y)y=815 88y−y2=815 -8y2+64y=120 -8y2+64y-120=0 8y2-64y+120=0 y2-8y+15=0 y2-5y-3y+15=0 (sum=-8,Product=15) y(y-5)-3(y-5)=0 y-5=0 (or)y-3=0 y=5 (or) y=3 If y=5 then x=8-5 X=3 If y=3 then x=8-3 X=5 Therefore the two natural numbers are 3and 5 Suggest Corrections 0 |