Question

In an envelop there are some 5 rupee notes and 10 rupee notes.Total amount of notes together is RS. 350.The number of 5 Rupees notes are less by 10 than twice the number of 10 rupees notes. Then find the number of 5 rupees.​

Answer 1

$\Large{\boxed{\underline{\overline{\mathfrak{\star \: Correct Question:- \: \star}}}}}$

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 number of 10 rupee notes. Then find the number of 5 rupees and 10 rupees.

$\huge\underline{\overline{\mid{\bold{\pink{ANSWER-}}\mid}}}$

❥ The number of Rs. 5 notes are 30 and the number of Rs. 10 notes are 20.

$\Large{\underline{\underline{\bf{GiVen:-}}}}$

❥ Some 5 rupee notes and some 10 rupee notes are there in a envelope.

❥ Total amount of these notes ↠ 350 rupees.

❥ Number of 5 rupee notes are less by 10 than number of 10 rupee notes.

$\Large{\underline{\underline{\bf{Find :-}}}}$

What is the number of 5 rupee & 10 rupee notes ?

So , here we go

$\Large{\underline{\underline{\bf{SoLuTion:-}}}}$

❥ Let x be the number of notes of Rs. 5 .

❥ Let y be the number of notes of Rs. 10.

Now ,

❥ As per the Question

↠ 5x + 10y = 350

↠ x + 2y = 70 ......... 1 eqn

And ,

↠x = y - 10

↠ x - y = -10 .......... 2 eqn

Now ,

Subtracting Equation (2) from (1)

↠ (x - y) - (x + 2y) = 70 -10

↠ 0 - 3y = 60

↠ 3y = 60

↠ y = 20

Now , Putting it in Equation (1) we get,

↠ x + 2y = 70

↠ x + 2(20) = 70

↠ x + 40 = 70

↠ x = 70 - 40

↠ x = 30

$\mathfrak{\huge{\purple{\underline{\underline{Hence}}}}}$

❥ The number of Rs. 5 notes are 30 .

❥ The number of Rs. 10 notes are 20.