Class 10 Maths · Pair of Linear Equations in Two Variables · NCERT Exercise 3.3 · Question 2

Pair of Linear Equations in Two Variables Medium

Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method:

(i)If we add $1$ to the numerator and subtract $1$ from the denominator, a fraction reduces to $1$ . It becomes $\frac{1}{2}$ if we only add $1$ to the denominator. What is the fraction?
(ii)Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu?
(iii)The sum of the digits of a two-digit number is $9$ . Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number.
(iv)Meena went to a bank to withdraw Rs $2000$ . She asked the cashier to give her Rs $50$ and Rs $100$ notes only. Meena got $25$ notes in all. Find how many notes of Rs $50$ and Rs $100$ she received.
(v)A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs $27$ for a book kept for seven days, while Susy paid Rs $21$ for the book she kept for five days. Find the fixed charge and the charge for each extra day.

Answer

(i) 3/5; (ii) Nuri 50, Sonu 20; (iii) 18; (iv) 10 notes of Rs 50 and 15 notes of Rs 100; (v) fixed charge Rs 15 and Rs 3 per extra day.

Step-by-step solution

Every step of how it is worked out, free, with no account needed.