If three numbers are added in pairs, the sums equal 10,19 and 21. Find the numbers?
Choose the correct answer:
A) 5, 10, 15
B) 6, 4, 15
C) 2, 4, 8
D) 15, 20, 25
E) None
Sol.   Let the numbers be x, y and z.   Then, x + y = 10 ............(i) and   y + z = 19 ....................(II) and   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)= 
<gadget id="calculator">(25 - 19)</gadget>
<output>6</output>
6;   y= (25 - 21)= 
<gadget id="calculator">(25 - 21)</gadget>
<output>4</output>
4;   z= (25 - 10)= 
<gadget id="calculator">(25 - 10)</gadget>
<output>15</output>
15.   Hence, the required numbers are 6, 4 and 15.   Answer 6, 4, 15
<result>B</result>
If three numbers are added in pairs, the sums equal 10,19 and 21. Find the numbers?