Question

A person has only two Rupee and five rupees find the sum of the coin is 36 and total value of the coin is 84 find the number of 5 rupee coin

Answer 1

AnswEr :

• Two Rupee and Five Rupee Coins.
• Number of Coins = 36
• Value of Coins = Rs. 84
• Find the Number of Rs. 5 Coin

Let the Number of Rs. 5 Coin be n and, Number of Rs. 2 Coin (Total - n) = (36 - n)

• Let's Head to the Question Now :

⇒ Rs.(5 + 2) Coin Value = Rs. 84

⇒ (No. × Value) + (No. × Value) = Rs. 84

⇒ (n × Rs. 5) + [(36 – n) × Rs. 2] = Rs. 84

⇒ 5n + 72 – 2n = 84

⇒ 5n – 2n = 84 – 72

⇒ 3n = 12

• Dividing both term by 3

⇒ n = 4

_______________________________

• D E N O M I N A T I O N :

◗ Rs. 5 Coin = n = 4

◗ Rs. 2 Coin = (36 - n) = (36 - 4) = 32

∴ Hence, Number of Rs. 5 coin will be 4.

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• V E R I F I C A T I O N :

↠ Rs.(5 + 2) Coin Value = Rs. 84

↠ (No. × Value) + (No. × Value) = Rs. 84

↠ (n × Rs. 5) + [(36 - n) × Rs. 2] = Rs. 84

↠ (4 × Rs. 5) + [(36 - 4) × Rs. 2] = Rs. 84

↠ Rs. 20 + [32 × Rs. 2] = Rs. 84

↠ Rs. 20 + Rs. 64 = Rs. 84

↠ Rs. 84 = Rs. 84 ⠀⠀⠀Hence, Verified!

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Answer 2

❏ Solution:-

•Given➾ • Total coins=36

• Total value= 84 Rs

• Variety of coins= Rs 2 & Rs 5

Let, the number of coins of 2 Rs coins is =X pcs

∴ No. of 5 Rs coins is =(36-X) pcs

➾From the condition

Value of coins=84 Rs

$\therefore X\times 2+(36-X)\times5=84$

$\sf\longrightarrow 2X+36\times5-5X=84$

$\sf\longrightarrow 3X=180-84$

$\sf\longrightarrow X=\frac{\cancel{96}}{\cancel3}$

$\sf\longrightarrow \bosed{\red{X=32}}$

$\therefore$ No. of 2 Rs coins=32 pcs.

AND,

$\therefore$ No. of 5 Rs coins=(36-32)= 4 pcs.

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❏ Verification:-

$\therefore X\times 2+(36-X)\times5=84$

$\sf\longrightarrow 32\times 2+(36-32)\times5=84$

$\sf\longrightarrow 64+4\times5=84$

$\sf\longrightarrow 64+20=84$

$\sf\longrightarrow 84=84\:\:\:\:\:(hence,\: verified)$

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$\underline{ \huge\mathfrak{hope \: this \: helps \: you}}$

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