The difference between two numbers is 26 and one number is three times

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

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

Answer»

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.