Question

suppose that anushka had x notes of rs.10 and y notes of Rs.50 each anushka got rs. 2500 from anand as denominations given above and if anand would have given her the amount by inter changing number of notes anushka would have received rs.500 less than previous amount​

Answer 1

Answer:

GIVEN THAT:-

x notes of 10 Rs.

y notes of 50 Rs.

AND the sum is 2500 Rs.

NOW,

10x + 50y = 2500 -------------(1)

50x + 10y = 2000 ------------(2)

adding-----(1) & ------(2)

we get,

50x + 10y = 2000

10x + 50y = 2500

--------------------------

60x + 60y = 4500

2X + 2y = 150---------(3)

subtracting-----(1) & -----(2)

50x + 10y = 2000

10x + 50y = 2500

(-)____(-)____(-)

---------------------------

40x - 40y = -500

2X - 2y = - 25----------(4)

From-----(1) & -----(2)

2x + 2y = 150

2x - 2y = -25

-------------------

4x = 125

X = 125/4

X = 30.9 put in -----(3)

We get,

2(30.9) + 2y = 150

2y = 150 - 62.5

2y = 87.5

Y = 87.5/2

Y = 43.75