The question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. BUNTY is 15 years older than CHINTU. How old is Bunty? I. In 3 years, BUNTY's age will be 50% larger than CHINTU's age. II. Years ago, when BUNTY was 25 years old, CHINTU was 10 years old.
The question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. BUNTY is 15 years older than CHINTU. How old is Bunty? I. In 3 years, BUNTY's age will be 50% larger than CHINTU's age. II. Years ago, when BUNTY was 25 years old, CHINTU was 10 years old. Correct Answer Statement 1 alone is sufficient to answer the question, but statement 2 alone is not sufficient.
Let M = BUNTY's age right now,
B = CHINTU's age right now. Question gives us the equation M = B + 15.
USING THE STATEMENT I:
It gives us a second equation, (M + 3) = 1.5 × (B + 3)
With this equation and the equation calculated by question, we have two equations with two unknowns, so we can solve for the values of M & B
(M + 3) = 1.5 × (B + 3)
M + 3 = 1.5B + 4.5
M – 1.5B = 1.5 ….(1)
M = B + 15
M – B = 15 ….(2)
Solving 1 and 2, we get
B = 27 and M = 42
This statement, alone and by itself, is sufficient
USING THE STATEMENT II
If BUNTY is 15 years older than CHINTU, then when BUNTY was 25, CHINTU would have had to have been 10.
We are given absolutely no indication when these people were these ages, so this doesn't help us at all.
This statement, alone and by itself, is not sufficient
Correct Answer is (1), Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient