Question

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

Answer 1

Let the larger number be x and the smaller number be y. 

Then, we have: 

x –y = 26 ………….(i) 

x = 3y …………(ii) 

On substituting x = 3y in (i), we get: 

3y –y = 26 ⇒ 2y = 26 ⇒ y = 13 

On substituting y = 13 in (i), we get: 

x – 13 = 26 ⇒ x = 26 + 13 = 39 

Hence, the required numbers are 39 and 13.