1.

If three numbers are added in pairs, the sums equal 10, 19 and 21. Find the numbers.

Answer»

Let the numbers be x, y and z. Then, 

x + y = 10 ...(i) y + z = 19 ...(ii) x + z = 21 …(iii) 

Adding (i) ,(ii) and (iii), we get: 

2 (x + y + z ) = 50 or (x + y + z) = 25. 

Thus, x= (25 - 19) = 6; y = (25 - 21) = 4; z = (25 - 10) = 15.

Hence, the required numbers are 6, 4 and 15.



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