The ratio of the ages of two persons is 4 : 7 and age of

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The ratio of the ages of two persons is 4 : 7 and age of then is more than other by 30 years. The sum of their ages in years is:

1. 100
2. 110
3. 120
4. 130

Correct Option: B

Let the present ages of two person be 4x and 7x years respectively; then according to question,
7x = 30 + 4x
⇒ 3x = 30
∴ x = 10
Hence, sum of their ages = 4x + 7x = 11x = 11 x 10 = 110 years