Avni has a number of Rupees 1 and rupees 2 coins in her purse if the number of rupees 2 coins is double the number of rupees 1coins and the total amount is rupees 65 find the number of Rupees 1 and rupees 2 coins each .
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Answer:
Step-by-step explanation:
Let the number of 1 Rs coins be x
Number of 2 Rs coins = 2x
Given:-
(1 × x) + (2 × 2x) = 65
x + 4x = 65
5x = 65
x = 65/5
x = 13
No. of 1 Rs coins = 13
No. of 2 Rs coins = 26
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x = 13 , y = 26
Let x be rupees 1 coin.
Let y be rupees 2 coin.
Given:
y=2x-------1
Total amount = rupees 65
1x +2y = 65---------2
Substituting y=2x in equation 2
We get,
⇒x + 2 (2x)= 65
⇒x +4x =65
⇒5x =65
⇒x = 13
Now to find y
put x=13 in equation 1
y=2x
⇒ y=2(13)
⇒ y = 26
The number of 1 rupees coin is 13
The number of 2 rupees coin is 26.
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