Meena went to a bank to withdraw Rs. 2000. She asked the cashier to give her Rs. 50 and Rs. 100

Question

Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method: 

Meena went to a bank to withdraw Rs. 2000. She asked the cashier to give her Rs. 50 and Rs. 100 notes only. Meena got 25 notes in all. Find how many notes of Rs. 50 and Rs. 100 she received.

Answer 1

Let the Rs. 50 notes be ‘x’ 

Rs. 100 notes b ‘y’ 

x + y = 25 …………. (i) 

x + 2y = 40 …………. (ii) 

Subtracting eqn. (ii) from eqn. (i),

∴ y = 15 

Substituting the value of ‘y’ in eqn. (i) 

x + y = 25 

x+ 15 = 25 

x = 25 – 15 

∴ x = 10 

∴ x = 10, y = 15 

∴ Rs. 50’s notes are 10 and Rs. 100’s notes are 15.