Question

Pranthi had rs.180 in the denomination of rs.10 and rs 20.the number rs.10 notes is three more than of rs.20 notes.find the number of notes of each denomination

Answer 1

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$let \: the \: notes \: of \: rupees \: 10 = x \\ let \: the \: notes \: o f \: rupees \: 20 = y \\ \\ Acc.to \: the \: statement \: \\=> x = y + 3 ---> (i)\\ \\ =>10x + 20y = 180 \\ = > 10(x + 2y) = 180 \\ = > x + 2y = 18 - - > (ii) \\ \\ Now ,\: Putting \: the \: eq .(i) \: in \: eq.(ii) \\ = = > x + 2y = 18 \\ = > (y + 3) + 2y = 18 \\ = > 3y + 3 = 18 \\ = > 3(y + 1) = 18 \\ = > y + 1 = 6 \\ = > y = 5 \\ \\ = = > x = y + 3 \\ = > x = 5 + 3 \\ = > x = 8 \\ \\ So ,\: there \: are \: 8 \: notes \: of \: rupees \: 10 \\ and \: 5 \: notes \: of \: rupees \: 20...$
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