GDC of co-primes is
Answers
Answer:
In number theory, two integers a and b are said to be relatively prime, mutually prime, or coprime if the only positive integer (factor) that divides both of them is 1. ... This is equivalent to their greatest common divisor (gcd) being 1.
Step-by-step explanation:
Correct question :
I have a total of rupees 300 in coins of denominator rupees 1 rup 2 and rupees 5. The number of rupees 2 coins is 3 times the number of rupees 5 coins. The total number of coin is 160. How many coins of each denominatoion is with me?
Solution :
Let the number of Rs 5 coins be x.
Number of Rs 2 coins = 3 x Number of Rs 5 coins = 3x
Number of Re 1 coins = 160 - (Number of coins of Rs 5 and of Rs 2)
= 160 - (3x + x) 160 - 4x
Amount of Re 1 coins
= Rs [1 x (160 - 4x)]
= Rs (160 - 4x)
Amount of Rs 2 coins
= Rs (2 x 3x)
= Rs 6x
Amount of Rs 5 coins
= Rs (5 x X)
= Rs 5x
It is given that the total amount is Rs 300.
160 - 4x + 6x + 5x = 300
160 + 7x = 300
On transposing 160 to R.H.S, we obtain
7x = 300 - 160
7x = 140
On dividing both sides by 7, we obtain
7x = 140
x = 140/7
x = 20
Number of Re 1 coins
= 160 - 4x
= 160 - 4 x 20
= 160 - 80
= 80
Number of Rs 2 coins
= 3x
= 3 x 20
= 60
Number of Rs 5 coins
= x
= 20