Pair of Linear Equations in Two Variables Q3

Maths Pair of Linear Equations in Two Variables Medium

Form the pair of linear equations for the following problems and find their solution by the substitution method:

(i)The difference between two numbers is $26$ and one number is three times the other. Find them.
(ii)The larger of two supplementary angles exceeds the smaller by $18$ degrees. Find them.
(iii)The coach of a cricket team buys $7$ bats and $6$ balls for Rs $3800$ . Later, she buys $3$ bats and $5$ balls for Rs $1750$ . Find the cost of each bat and each ball.
(iv)The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of $10$ km, the charge paid is Rs $105$ and for a journey of $15$ km, the charge paid is Rs $155$ . What are the fixed charges and the charge per km? How much does a person have to pay for travelling a distance of $25$ km?
(v)A fraction becomes $\frac{9}{11}$ if $2$ is added to both the numerator and the denominator. If $3$ is added to both the numerator and the denominator it becomes $\frac{5}{6}$ . Find the fraction.

🔒 Step-by-step solution

Form the pair of linear equations for the following problems and find their solution by the substitution meth…