Question

Question 3 (i)
Form the pair of linear equations for the following problems and find their solution by substitution method:
(i) The difference between two numbers is 26 and one number is three times the other. Find them.

Answer 1

Let larger number = x
Smaller number = y
The difference between two numbers is 26.
x - y = 26
$\Rightarrow$ x = 26 + y ----(i)
Given that one number is three times the other.
So, x = 3y ----(ii)
Substituting the value of x in equation (i) we get;
$\Rightarrow$ 26 + y = 3y
$\Rightarrow$ -2y = - 26
$\Rightarrow$ y = 13
So value of x = 3y
Substituting value of y in equation (ii), we get;
$x=3\times 13=39$
Hence the numbers are 13 and 39.