Question

Ravi has 20coin worth Rs 85.If he has only5-rupee and 2-rupee coin,find the number of each type of coin.

Answer 1

let the no. of ₹2 coin be 'x'
no. ₹5 coin = (20 - x)
ATQ
2(x) + 5(20-x) = 85
2x + 100 - 5x = 85
-3x = -15
3x = 15
x = 5
There are five ₹2 coins
and (20 - 5) = fifteen ₹5 coins

Answer 2

solution

consider the number of 5 rupee coins as x
 
consider the number  of 2 rupee coins as y

ACCORDING TO PROBLEM
   
Total no of coins  =>     x+ y =20  (eq1)
 Another equation according to situation        5x + 2y = 85 eq(2)

solve both the equations by elimination method or substitution method

elimination method (subtraction)

eq(1) multiplied with 2 =>   2x + 2y = 40
eq(2)                            =>  5x +  2y = 85
                                          (-)    (-)       (-)                               
                                       -----------------------
                                       -3x  = -45
                                  cancel minus on both the sides
                                     
                                                 x = 15

                  substitute x value in eq1 or eq2 to get y value

x = 15

y = 5
\

therefore the total no. of 5 rupee coins is equal to 15

total no. of 2 rupee coins is equal to 2

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