Let the number divided into two parts x1 and x2. According to the statement, (80% of x1) = 3 + (60% of x2) 80×
x1
100
=3+60×
x2
100
4x1−3x2=15......(i) 6 + (90% of x1) = (80% of x2) 6+
90
100
x1=
80
100
x2 9x1=8x2=−60......(ii) From solving equation (i) and (ii), Multiplying equation (i) with 8 and equation (ii) by 3 and subtracting, we get, x1=60 Substituting x1 in equation (i) we get x2 x2=75 So, the number is x1+x1=60+75=135.