Question

Pronation has Rs20.the. 180 in the denomination of Rs20.and Rs10 .the number Rs.10 is three more than Rs20 notes find the number of notes of each of denomination

Answer 1

Question :-

Pranathi has Rs. 180 in the denomination of Rs.10 and Rs. 20 .The number of Rs. 10 notes is 3 more then that of Rs. 20 notes .Find the number of notes of each denomination .

Answer :-

$\star \: \red{ \sf \: Number \: of } \green{ \sf \: Rs. 10 \: notes = 8 ,} \\ \\ \sf \: \star \pink{ \: </p><p>Number \: of } \blue{ \: Rs. 20 \: notes = 5 }</p><p> \: \:$

Explanation :-

$\sf \: Let \: , \\ \to \sf \red{ numberm \: of \: }Rs .10 \: notes \: = \: a \: \: \: \\ \to \sf \pink{ number \: of }\: Rs .20 \: \orange{notes = b}$

According to the question -

→notes of Rs. 10. is 3 more then that of Rs. 20

$\blue{ \implies} \sf \orange{ a = b \: } + 3 \: \: .....eq.(1) \:$

°•° Total money in the denomination of Rs. 10 snd Rs .20 is Rs. 180

$\red{ \implies }\sf \green{ 10a \: + }20b \: \pink{ = 180} \\ \\ \sf from \: eq.(1) \: \: \\ \sf \: \: \red{put \: a }= \green{ b + 3} \\ \\ \pink{\implies \: } \sf \orange{10( \red{b + 3}) + }20b = 180 \\ \\ \green{\implies }\sf \blue{ 10b +} 30 + \red{20b = 180} \\ \\ \orange{\implies }\sf \sf \green{ 30b = }180 - 30 \\ \\ \pink{\implies } \sf \red{30b =} 150 \\ \\ \red{\implies} \large \boxed{ \pink{\boxed{\sf \red{ b = 5}}}} \\ \\ \sf \: now \: put \: b = 5 \: \: in \: eq.(1) \\ \\ \implies \sf \green{ a = 3 }+ 5 \\ \\ \pink{\implies} \large \boxed{ \green{ \boxed{ \sf \: a = 8}}}$

Therefore ,

$\star \: \red{ \sf \: Number \: of } \green{ \sf \: Rs. 10 \: notes = 8 ,} \\ \\ \sf \: \star \pink{ \: </p><p>Number \: of } \blue{ \: Rs. 20 \: notes = 5 }</p><p> \:$

Answer 2

$\huge\bold{Question}$

Pronation has Rs20.the. 180 in the denomination of Rs20.and Rs10 .the number Rs.10 is three more than Rs20 notes find the number of notes of each of denomination ?

$\huge\bold{Answer}$

Let the no. of ₹ 10 notes = a

Let the no. of ₹ 20 notes = b

So, according to the question :-

Notes of ₹ 10. is 3 more then that of ₹. 20

= a = b + 3 __________________(1)

Total money in the denomination of ₹. 10 snd ₹ .20 is ₹. 180

= 10 a + 20 b = 180

Simply by using the value of “ a ” in above question

→ 10 (b + 3) + 20 b = 180

→ 10b + 30 + 20b = 180

→ 30b = 180 - 30

→ 30b = 150

→ b = 5

By substitute the value of “ b ” in eqn (1) we get :-

→ a = 3 + b

→ a = 3 + 5

→ a = 8

Hence ,

★ no. of ₹ 10 notes = 8

★ no. of ₹ 20 notes = 5