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

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Let no. of Rs. 50 notes = x no. of Rs. 100 notes = y

Total notes = 25 ⇒ x + y = 25 ⇒ x = 25-y

total amount only in Rs. 50 notes = 50x total amount only in Rs. 100 notes = 100y Total amount = 2000 ⇒ 50x + 100y = 2000 ⇒50(25-y) + 100y = 2000 ⇒50×25 - 50y + 100y = 2000 ⇒1250 +50 y = 2000 ⇒ 50y = 2000-1250 = 750 ⇒ y = 750/50 = 15 x = 25-15 = 10

No. of Rs. 50 notes = 10 No. of Rs. 100 notes = 15

Let the number of 50 notes be x,
Let the number of 100 notes be y.
Then , x+y = 25. →(1) Equation
And 50x+100y = 20000 → (2) equation.
Substitution method:
From equation (1)
x= 25-y.
Substituting in equation(2)
50(25-y) + 100y = 2000.
1250-50y + 100y = 2000.
50y = 2000-1250= 750.
y= 750/50= 15.
x = 25-15 = 10.
Hence, meena received ten 50 notes and fifteen 100 notes.