Question

In an envelope there are some 5 rupee notes and some 10 rupee notes. Total amount of
these notes together is 350 rupees. Number of 5 rupee notes are less by 10 than twice the number
of 10 rupee notes. Then find the number of 5 rupee and 10 rupee notes.​

Answer 1

Step-by-step explanation:

hope it helps you for doing and understand

Answer 2

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$\Large\bold\red {Solution}\Rrightarrow$

Let the number of 5 rupees notes be $x$ and the of 10 rupee notes be $y$

The value of $x$ notes of 5 rupee = ₹5$x$

The value of notes of 10 rupee = ₹ 10 $y$

The total amount of these notes is given to be e rupees 350.

∴$5x+10y=350$

∴$\Large\frac{5x}{5}\frac{10y}{5}=\frac{350}{5}$

...(Dividing both the sides by 5)

∴$x+2y=70$

From the second condition,

$2y-x=10$ i.e. $-x+2y=10$

Adding equations (1) and (2),

$\: x+2y =70$

$\underline -x+2y=10$

$\:\:\:4y=80$

∴ $y=\Large \frac {80}{4}$

∴ $y=20$

Substituting y = 20 in equation (1),

$x+2(20)=70$

$∴x+40=70$

$∴x =70-40$

$∴x=30$

$\large\bold\orange{Ans}\Longrightarrow$

There are 30 notes of 5 rupee is and 20 notes of 10 rupee each.