Question

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

Answer 1

Answer:

Let the number of 5 rupee note be x and the number of 10 rupee note be y

Then according to the question ,

5x+10y=350 1

Also,x=2y−10 2

Putting the value of x from eq .2 in eq. 1 we get,

5(2y−10)+10y=350

20y=400

y=20

Putting the value of y in eq.2 we get x=30

Hence, the number oof 5 and 10 rupee note are30 and 20 respectively.

Answer 2

$\huge\mathcal{\fcolorbox{lime}{blue}{Answer࿐}}$

• Let the number of ₹5 note be x .

• Let the number of ₹10 note be y .

$\huge\mathfrak\green{Given:}$

⟹ First condition .

in an envelope there are ₹5 notes and ₹10 notes

and there sum is ₹350

⇒ 5x + 10y = 350 ( divided by 5 )

⇒ x + 2y = 70 ——— (l)

⟹ second condition .

no.of ₹5 notes are less by ₹10 note by 10.

⇒ x - y = 10 ——— (ll)

• subtracting ——— (l) & (ll)

x + 2y = 70

– x – y = 10 ( x and x will cut )

3y = 60

y=$\frac{60}{3}$

$\huge\mathcal\orange{★\:y\: =\: 20 \:★}$

Substituting value of y = 20 in ——— (ll)

⇒ x – y = 10

⇒ x – 20 = 10

⇒ x = 10 + 20

⇒ x = 30

$\huge\mathcal\pink{★\:x\: =\: 30 \:★}$

★ x = 30 , y = 20 ★

number of 5 rupee notes are 30

number of 10 rupee notes are 20

$\huge\mathcal\color{aqua}I\:hope\:it\:helps\:you.$