1.

The difference of two numbers is 11 and one-fifth of their sum is 9. Find the numbers. 

Answer»

Let the number be x and y. Then, 

x – y = 11 ----(i) and 1/5 (x + y) = 9 => x + y = 45 ----(ii) 

Adding (i) and (ii), we get: 

2x = 56 or x = 28. 

Putting x = 28 in (i), we get: 

y = 17. 

Hence, the numbers are 28 and 17.



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