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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Question : Three numbers are in the ratio 5 : 7 : 12. If the sum of the first and the third numbers is greater than the second number by 50. The sum of the three numbers is:
Option 1: 125
Option 2: 120
Option 3: 95
Option 4: 85
Question : Among three numbers, the second is twice the first and also thrice the third. If the average of the three numbers is 33, then the largest number is:
Option 1: 36
Option 2: 54
Option 3: 62
Option 4: 72
Question : The sum of the three numbers is 280. If the ratio between the first and second numbers is 2 : 3 and the ratio between the second and third numbers is 4 : 5, then find the second number.
Option 1: 80
Option 2: 90
Option 3: 86
Option 4: 96
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
Question : The average of the first three numbers is double the fourth number. If the average of all the four numbers is 12. Find the 4th number.
Option 1: $16$
Option 2: $\frac{48}{7}$
Option 3: $20$
Option 4: $\frac{18}{7}$
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