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Question

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



Options:
A .  6, 4 and 15
B .  3, 4 and 12
C .  6, 7 and 10
D .  6, 3 and 13
Answer: Option A

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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