Let no. of 20 paise coins is x and no. of 25 paise coins is y. Then by the given question,
x+y=50 --------------------(1) and
20x+25y=1125 [∵, Rs. 11.25=1125 paise]
or, 4x+5y=225 -----------(2)
Multiplying (1) with 4 we get,
4x+4y=200 ---------------(3)
Subtracting (3) from (2) we get,
y=25
Putting in (1)
x=50-y=50-25=25
∴, x=25, y=25
.