Subject: General Aptitude · Chapter: Problems on Numbers · Exam: · Marks: · Difficulty:
If three numbers are added in pairs, the sums equal 10, 19 and 21. Find the numbers.
Answer
Answer (as printed):
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.