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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