Question
If three numbers are added in pairs, the sums equal 10, 19 and 21. Find the
numbers
If three numbers are added in pairs, the sums equal 10, 19 and 21. Find the
numbers
Answer: Option A
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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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