Let's study some complex examples related to linear equations and try to solve them
Example - 1 : A number added to its two-thirds is equal to 45. Find the number
Solution : Let the number be x
two-third 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
two-third 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
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