Each of the questions given below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements. Find the age of Luther when Klaus’s age is 30 years. I. The present age of Luther and Klaus are in the ratio 2 : 3 and the age of Luther is 40 years. II. When Peter age is 40 years, he is 20 years older than Luther and his age is equal to Klaus.?

Option 3 : If the data either in statement I alone or in statement II alone are sufficient to answer the question.

Calculations:

Solving for Statement I -

Let Luther’s age and Klaus’s age be 2x and 3x respectively

Luther’s age = 40 years

⇒ 2x = 40

⇒ x = 20

Klaus’s age = 3x = 3 × 20 = 60 years

When Klaus’s age is 30, it means Klaus’s age minus 30

⇒ Luther’s age when Klaus’s age is 30 years = 40 – 30 = 10 years

Solving for Statement II –

When Peter age is 40 years, Klaus age is also 40 years

⇒ Age of Luther = 40 – 20 = 20 years

When Klaus’s age is 30 years,

Luther’s age 20 – (40 – 30) = 10 years