Question

if three number are added in pairs,the sums equal 10,19and 20.find the number with full soluction

Answer 1

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.