Subject: General Aptitude · Chapter: Problems on Numbers · Exam: · Marks: · Difficulty:
There are two numbers such that the sum of twice the first and thrice the second is 39 , while the sum of thrice the first and twice the second is 36 . The larger of the two is
(a)6
(b)8
(c)9
(d)12
Answer
Answer (as printed): C
Explanation
Let the numbers be $x$ and $y$. Then, $2 x+3 y=39$ and $3 x+2 y=36$ On solving (i) and (ii), we get : $x=6$ and $y=9$. $\therefore \quad$ Larger number $=9$.
Explanation as extracted from the printed page; notation may be imperfect.