Question

A sum of ₹370 is in the form of denominations of ₹10 and ₹50. If the number of ₹10 notes is one more than that of ₹50, find the number of notes of each type?

Answer 1

$<b><i><font face=Copper black size=4 color=red><h3>$Hi friend

Here is your answer

Let the number of 50 rupee notes = x

Then the number of 10 rupee note = (x + 1)

Value of 50 rupee notes = 50 × x

Value of 10 rupee notes = 10(x + 1)

Total money = 50 × x + 10(x + 1)

= 50x + 10x 10

Now,

According to the question,

$50x + 10x + 10 = 370 \\ \\ 60x =370 - 10 \\ \\ 60x = 360 \\ \\ x = \frac{360}{60} \\ \\ x = 6$
Therefore,

Number of 50 rupee notes = 6

Number of 10 rupee notes

= 6 + 1

= 7

$<b><i><font face=Copper black size=4 color=blue><h3>$Check:

Total money = 50 × 6 + 10 × 7

= Rs. ( 300 + 70 )

= Rs. 370

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Answer 2

$\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate!!}}}$
$<b><i><font face=Copper black size=4 color=blue>$
Here is your answer.

Let the number of 50 Rupees note is x

Number of 10 Rupees note is x + 1

ATQ
$50x + 10(x + 1) = 370 \\ \\ 50x + 10x + 10 = 370 \\ \\ 60x = 370 - 10 \\ \\ 60x = 360 \\ \\ x = \frac{360}{60} \\ \\ x = 6$
Therefore Number of 50 Rupees note is 6

Number of 10 Rupees note is 6 + 1 = 7

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