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0akshay0
Joined: 19 Apr 2016
Last visit: 14 Jul 2019
Posts: 192
Given Kudos: 59
Location: India
Schools: Jindal '20 Kelley '20 Broad '20 Carey '20 Mays '20
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE:Web Development (Computer Software)
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
52% (02:52) correct
48%
(03:15)
wrong
based on 124
sessions
History
Date
Time
Result
Not Attempted Yet
"You were a quarter of my age when I was twice of your present age", said A to B. "5 years from now, our ages will add up to 45. How old was I, when you were born?"
A.10
B.15
C.20
D.25
E.22
A.10
B.15
C.20
D.25
E.22
11 Jan 2017, 10:19
Kudos
Bookmarks
Hi 0akshay0,
While solving age problems such as these there are three things that will help you solve such questions quickly and without any tedious working.
1. Limit the number of variables you choose to solve the question (Choose one or at most 2 variables)
2. Always put in the data given in age problems in a table with past, present and future ages as the rows and the people (A, B and C) as columns
3. Always read the question in parts and translate the statements into mathematical equations
Let the present age of 'B' be 'x'. "You were a quarter of my age when I was twice of your present age", said A to B.
So in the past A's age was 2x and B's age in the past was x/2. Let these past ages be 'y' years ago.
Capture.PNG [ 3.22 KiB | Viewed 9395 times ]
The present age of 'A' will now be '2x + y' and the present age of 'B' which is 'x' will be 'x/2 + y'. So y = x/2.
"5 years from now, our ages will add up to 45" ------> 2x + y + 5 + x + 5 = 45 ------> 2x + x/2 + 5 + x + 5 = 45. Simplifying we get
3x + x/2 = 35 -----> x = 10. So B's present age is 10. 5 years ago B's age was 5 and A's age was 20. So when B was born, A's age was 20 - 5 = 15.
OA : B
While solving age problems such as these there are three things that will help you solve such questions quickly and without any tedious working.
1. Limit the number of variables you choose to solve the question (Choose one or at most 2 variables)
2. Always put in the data given in age problems in a table with past, present and future ages as the rows and the people (A, B and C) as columns
3. Always read the question in parts and translate the statements into mathematical equations
Let the present age of 'B' be 'x'. "You were a quarter of my age when I was twice of your present age", said A to B.
So in the past A's age was 2x and B's age in the past was x/2. Let these past ages be 'y' years ago.
Attachment:
Capture.PNG [ 3.22 KiB | Viewed 9395 times ]
The present age of 'A' will now be '2x + y' and the present age of 'B' which is 'x' will be 'x/2 + y'. So y = x/2.
"5 years from now, our ages will add up to 45" ------> 2x + y + 5 + x + 5 = 45 ------> 2x + x/2 + 5 + x + 5 = 45. Simplifying we get
3x + x/2 = 35 -----> x = 10. So B's present age is 10. 5 years ago B's age was 5 and A's age was 20. So when B was born, A's age was 20 - 5 = 15.
OA : B
General Discussion
