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

The pair of linear equations formed is:

a – b = 26 … (1)


a = 3b … (2)


We substitute value of a in equation (1), to get


3b – b = 26


2b = 26


b = 13


Substituting value of b in equation (2),


a = 3(13)


a = 39


The numbers are 13 and 39.


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