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Q. 14.1( 93 Votes )

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 rupee and 10 rupee notes.

Class 9th MHB - Math Part-I 5. Linear Equations in Two Variables

Answer :

Let the number of 5 rupees notes = x

Let the number of 10 rupees notes = y

Given, Total amount is 350 Rupees

⇒ 5x + 10y = 350 eq.[1]

Also,

Number of 5 rupees notes are less by 10 than number of 10 rupees note,

y = x - 10

⇒ x = y + 10 eq.[2]

Putting [2] in [1]

⇒ 5(y + 10) + 10y = 350

⇒ 5y + 50 + 10y = 350

⇒ 15y = 300

⇒ y = 20

Then, x = y + 10

⇒ x = 20 + 10

⇒ x = 30.

Answer: 30 notes of Rs 5 and 20 notes of Rs. 10.

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PREVIOUSSolve the following sets of simultaneous equations.i. x + y = 4; 2x - 5y = 1ii. 2x + y =5; 3x – y =5iii. 3x – 5y =16; x - 3y = 8iv. 2y – x =0; 10x + 15y =105v. 2x +3y + 4 = 0; x – 5y = 11vi. 2x – 7y =7; 3x + y =22 NEXTThe denominator of a fraction is 1 more than twice its numerator. If 1 is added to numerator and denominator respectively, the ratio of numerator to denominator is1 : 2. Find the fraction.

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