Let's study some complex examples related to linear equations and try to solve them
Example  1 : A number added to its twothirds is equal to 45. Find the number Solution : Let the number be x twothird of the number is 2/3 x
x + 2/3 x = 45
3x + 2x / 3 = 45 5x / 3 = 45 5x = 45 X 3 5x = 135 x = 135 / 5 x = 27 The number is 27
Example  2 : The sum of two numbers, one of which is 2/3 times, the other is 50, Find the two number Solution : let the number be x twothird of the number is 2/3x
x + 2/3x = 50 3x + 2x / 3 = 50 5x / 3 = 50 5x = 50 X 3 5x = 150 x = 150 / 5 x = 30
so one number is 30 other number is 2/3 x 30 = 20

