in a purse there are 20 rupee note ,10 rupee note and 5 rupee note .the number of 5 rupee note exceeds two time the 10 notes by one.the 20 rupee notes are 5 less than 10 rupee notes.if the total value of the money in the purse is Rs.185 ,find the number of each variety of notes
Answers
Answered by
51
Let there be X 10Rs note
no of Rs 5 note= 2X+1
no of Rs 20 note= X-5
Sum of the notes= 3X-4
value of notes= 10*X+ 5(2x+1)+20(X-5)=185
⇒ 10X +10X+5+20X-100=185
⇒ 40X= 280 ⇒ X=7
Rs 10 Qty 7
Rs 5 Qty 15
Rs20 Qty 2
no of Rs 5 note= 2X+1
no of Rs 20 note= X-5
Sum of the notes= 3X-4
value of notes= 10*X+ 5(2x+1)+20(X-5)=185
⇒ 10X +10X+5+20X-100=185
⇒ 40X= 280 ⇒ X=7
Rs 10 Qty 7
Rs 5 Qty 15
Rs20 Qty 2
Answered by
11
Let the no. Of 10 rs note be x then 5 rs note= 2x + 1--- & 20 rs note = x. - 5. value Of these are 10x+10x +5 +20x - 100= 185----- next step---- =40x = 185+100-5----------
40x=280
X=280÷40=7----
No. Of 10 rs note = 7
No. Of 5 rs note=2×7+1=15-----
No. Of 20 rs note =7-5=2
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