Question

a sum of rupees 500 is in the form of denominations of rupees 5 and 10 if the total number of notes is 90 find the number of notes of each denominations

Answer 1

Hey!!!
Your answer is here
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Let 5 rupees note be 5x.
10 rupees note be 10x

ATQ

$5x + 10x =90 \\ 15x = 90 \\ x = \frac{90}{15} \\ x = 6$
So, No. of 5 rupees note=5x=5×6=30notes
No.of 10rupees note= 10x= 10×6=60 notes
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Answer 2

let no. of rs5 notes be x and rs10 notes be y we have x + y= 90 and 5x + 10y = 500 or x + 2y = 100 or 90-y +2y = 100 (from x+y=90) or 90+y = 100 or y = 10 now x= 90- 10 = 80. . ...x = 80 and y = 10