A purse has some rupee 2 coins and rupee 5 coins. The total value of the conis is rupee 165. If the number of rupee 5 are 5 more than the rupee 2 coins , find how many coins of each are there in the purse
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Answer:
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Step-by-step explanation:
let the number of rupees to coins Be X than that of rupees 5 coins will be X + 5 their total value in terms of X is 2 x + 5 x + 5 is equal to 2 X + 5 x + 25 this equal to 165 2 X + 5 x + 25 is equal to 165 7 x is equal to 140 x is equal to 20 the rupees 5 coins are the 20 + 5 is equal to identify the total number of coins is 25 + 20 is equal to
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Step-by-step explanation:
Let
no. of rupee 2 coin be a, and
no. of rupee 5 coin be b
b = a + 5......eqn 1
total amount = 165
2"a + 5*b = 165
putting value of b from eqn 1
2a + 5(a + 5) = 165
2a + 5a + 25 = 165
7a = 165 - 25
7a = 140
a = 140/7
a = 20
this gives b = a + 5 = 25
thus,
no. of 2 rupee coin = 20
no. of 5 rupee coin = 25
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