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

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.

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

- 2  y         = - 2 6

y          = 13

So value of x  = 3y

Plug value of y we get

x         = 3* 13            = 39

Answer smaller number = 13 bigger number is 39