MAHARASHTRA Class 9: Elimination Method Videos | Elimination Method

Let the present age of the father be x and the son’s age be y.

x + y = 35 …(i) 

x − 5y = 5 …(ii) 

Multiplying the first equation by 5,

5x + 5y = 175…(iii) 

Adding (ii) and (iii),

6x = 180 

x = 30, y = 5 

Let x > y 

x + y = 10 

x − y = 2 

2x = 12 

x = 6 

Subtracting

3x + 2y = 3

−2x − 3y = −7 

x − y = −4 

Let the present ages of the father be x and the son be y.

3 years ago:

x − 3 + y − 3 = 40 

x + y = 46 

After 2 years:

x + 2 + y + 2 = ? 

x + y + 4 = 46 + 4 = 50