Three numbers are in the ratio 5 : 7 : 12. If the sum of the first and the third is greater than the second by 50. The sum of the three numbers is = ?

Answer: Option B

Let the number are 5x, 7x and 12x
According to the question,
⇒ 5x + 12x = 7x + 50
⇒ 17x - 7x = 50
⇒ 10x = 50
⇒ x = 5
Sum of all three numbers
= 5x + 7x + 12x
= 24x
= 24 × 5
=120