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Question

Manju has ₹860 in a box in notes of ₹10 and ₹20. There are 8 notes more of ₹10 than ₹20. How many notes of each are there?

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Solution

Suppose she has x notes of Rs 20.
Then since she has 8 more notes of Rs 10 than of Rs 20, she has x+8 notes of Rs 10.
x notes of Rs 20 are worth Rs 20x.
(x+8) notes of Rs 10 are worth Rs 10(x+8)
So total amount = 20x + 10(x+8)
So 20x + 10(x+8)= Rs 860 (given)
20x+10x+80 = 860
30x +80 = 860
30x = 780
x = 26
So Manju has 26 notes of Rs 20 and 26+8 = 34 notes of Rs 10.
Answer: 34 Rs 10 notes and 26 Rs 20 notes

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