# In an envelope there are some 5 rupee notes and some 10 rupee notes. Total amount of these notes together is 350 rupees. Number of 5 rupee notes are less by 10 than number of 10 rupee notes. Then find the number of 5 rupee and 10 rupee notes.

Let the number of 5 rupees notes = x

Let the number of 10 rupees notes = y

Given, Total amount is 350 Rupees

5x + 10y = 350 eq.[1]

Also,

Number of 5 rupees notes are less by 10 than number of 10 rupees note,

y = x - 10

x = y + 10 eq.[2]

Putting [2] in [1]

5(y + 10) + 10y = 350

5y + 50 + 10y = 350

15y = 300

y = 20

Then, x = y + 10

x = 20 + 10

x = 30.

Answer: 30 notes of Rs 5 and 20 notes of Rs. 10.

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