Question

The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and mark the option:

What will be the combined age of Harish's two children?
I. Among the two children, the age of the older child is 6 years more than the age of the younger child.
II. 40% of the age of the younger child is equal to 30% of the age of the older child.
III. The ratio between half of the elder child's age and one – third of the younger child's age is 2:1.

• A. I and II only
• B. II and III only
• C. All I, II and III
• D. Any two of the three
• E. if statements I and III are sufficient to answer the question.

Answer 1

The correct option is A

I and II only

Let the required ages be x and y, where x $>$ y.
I. x - y = 6
II.$\frac{30}{100}x=\frac{40}{100}y\iff 3x-4y=0$
III.$\frac{\frac{1}{2}x}{\frac{1}{3}y}=\frac{2}{1}\iff \frac{3x}{2y}=\frac{2}{1}\iff \frac{x}{y}=\frac{4}{3}$
Thus, I and II only give the answer.