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
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Correct Answer: 120
Solution : Let the first number be 5x, the second number be 7x, and the third number be 12x. According to the question, 5x + 12x = 7x + 50 ⇒ 10x = 50 $\therefore$ x = 5 The required sum of the numbers is: 5x + 7x + 12x = 24x = 24 × 5 = 120 Hence, the correct answer is 120.
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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 the three numbers is 540. The ratio of second to third is 9 : 13 and that of first to third is 2 : 7. The third number is:
Option 1: 273
Option 2: 280
Option 3: 250
Option 4: 286
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
Question : Three positive numbers are in the ratio of 4 : 5 : 7, and the sum of their squares is 15,210. Find the sum of the three numbers.
Option 1: 148
Option 2: 156
Option 3: 126
Option 4: 208
Question : The sum of three positive numbers is 18 and their product is 162. If the sum of two numbers is equal to the third number, then the sum of the squares of the numbers is:
Option 1: 120
Option 2: 126
Option 3: 132
Option 4: 138
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