1.

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

Answer»

Let the bigger number is x and smaller number is y. 

Given that difference between both numbers is 26. 

∴ x – y = 26. … (1) 

Given that one number is three times the other 

Therefore, x = 3y. … (2) 

Now, putting x = 3y in equation (1), we get 3y – y = 26 

⇒ 2y = 26 ⇒ y = \(\frac{26}{2}\) = 13. 

Now, putting y = 13 in equation (2), we get 

x = 3 × 13 = 39.

Hence, the numbers are 13 and 39.



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