Question : Of the three numbers, the first is 4 times the second and 3 times the third. If the average of all three numbers is 95, what is the third number?
Option 1: 76
Option 2: 60
Option 3: 130
Option 4: 57
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Correct Answer: 60
Solution :
Let the third number be $x$; the first number, $3x$; and the second number, $\frac{3x}{4}$.
The average of the three numbers is 95.
According to the question,
$3x+\frac{3x}{4}+x=3×95$
$⇒\frac{12x+3x+4x}{4}=285$
$⇒19x=285×4$
$\therefore x=60$
Hence, the correct answer is 60.
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