If three numbers are added in pairs, the sums equal 10, 19 and 21. Find the numbers. · ABC26GN1647
Subject: General Aptitude · Chapter: Problems on Numbers
If three numbers are added in pairs, the sums equal 10, 19 and 21. Find the numbers.
Answer
No answer key was printed for this question.
Explanation
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.
Explanation as extracted from the printed page; notation may be imperfect.