Question : The sum of three numbers is 252. If the first number is thrice the second and third number is $\frac{2}{3}$rd of the first, then the second number is:
Option 1: 41
Option 2: 21
Option 3: 42
Option 4: 84
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Correct Answer: 42
Solution :
Given:
The sum of three numbers $= 252$
Let the second number be $x$.
Since the first number is thrice the second and the third number is $\frac{2}{3}$rd of the first.
Thus, the first number is $3x$.
The third number is $\frac {2}{3} × 3x = 2x$
$x+3x+2x=252 $
⇒ $6x=252$
⇒ $x=\frac{252}{6}=42$
Hence, the correct answer is $42$.
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