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.