Question

3. Form the pair of linear equations for the following problems and find their solution by substitution method. (1) The difference between two numbers is 26 and one number is three times the other. Find them. () The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them. (ii) The coach of a cricket team buys 7 bats and 6 balls for 3800. Later, she buys 3 bats and 5 balls for 1750. Find the cost of each bat and each ball​

Answer 1

Answer:

3. Form the pair of linear equations for the following problems and find their solution by substitution method. (1) The difference between two numbers is 26 and one number is three times the other. Find them. () The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them. (ii) The coach of a cricket team buys 7 bats and 6 balls for 3800. Later, she buys 3 bats and 5 balls for 1750. Find the cost of each bat and each ball

Answer 2

Answer:

(i)The difference between two numbers is 26 and one number is three times the other. Find them.

Let larger number = x

Smaller number = y

The difference between two numbers is 26

x – y = 26

x = 26 + y

Given that one number is three times the other

So x = 3y

plug the value of x we get

26 + y = 3y

-2y = - 26

y = 13

So value of x = 3y

Plug value of y we get

X = 3* 13 = 39