The sum of three numbers is 252. If the first number is thrice the second and third number is two-third of the first, then the second number is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 42
Let the three numbers be a, b and c
a + b + c = 252 .....(1)
Now, a = 3b and c = 2a/3
a = 3c/2
Therefore,
a = 3b = 3c/2
a/3 = b = c/2 .....(2)
Using (1) and (2), we get:
3b + b + 2b = 252
⇒ 6b = 252
⇒ b = 42