A man bought some pens at Rupees 5 and some penciles at RS3 each and paid total RS 100 how many pens did he buy if the total number of pens and pencils is 26
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let no. of pens be x
no.of pencils be y
x+y=26......eqn1
5x+3y=100.....eqn2
(eqn1)*5
5x+5y=130.....eqn3
subtracting eqn2 from eqn3
5x+5y-(5x+3y)=130-100
5x+5y-5x-3y=30
2y=30
y=15
putting y=15 in eqn1
x+y=26
x+15=26
x=11
no.of pencils be y
x+y=26......eqn1
5x+3y=100.....eqn2
(eqn1)*5
5x+5y=130.....eqn3
subtracting eqn2 from eqn3
5x+5y-(5x+3y)=130-100
5x+5y-5x-3y=30
2y=30
y=15
putting y=15 in eqn1
x+y=26
x+15=26
x=11
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