a boy had 12 coins, they were made of 2 rupees coins and one rupee coins altoghether he had rs 16, how many 2 rupees coins did he have
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Step-by-step explanation:
Question reduces to all possible solutions of
2x + 5y = 120 (where x,y are positive integers)
x = 60 - 5y/2
Points to note:
1. y should be an even number to ensure x is an integer.
2. Minimum value of y is 0
3. Let's try to find max y by setting x to 0
60 = 5y/2
y = 24
So y can be all even numbers till 24 including 0.
So total 13 solutions.
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