Home/age problem
- Recent Questions
- Most Answered
- Answers
- No Answers
- Most Visited
- Most Voted
- Random
- Bump Question
- New Questions
- Sticky Questions
- Polls
- Followed Questions
- Favorite Questions
- Recent Questions With Time
- Most Answered With Time
- Answers With Time
- No Answers With Time
- Most Visited With Time
- Most Voted With Time
- Random With Time
- Bump Question With Time
- New Questions With Time
- Sticky Questions With Time
- Polls With Time
- Followed Questions With Time
- Favorite Questions With Time
Age problem
Let the age of A be x Let the age of B be y From the following data, ratio of their ages after 4 years is 8:9, So we can express it as:- x+4/y+4= 8/9 By cross multiplying it we get equation:- 9x-8y= -4 .... Equation (1) Additionally, the average of their ages is 47, So we can express it as:- x+y/2=4Read more
Let the age of A be x
Let the age of B be y
From the following data, ratio of their ages after 4 years is 8:9,
So we can express it as:- x+4/y+4= 8/9
By cross multiplying it we get equation:- 9x-8y= -4 …. Equation (1)
Additionally, the average of their ages is 47,
So we can express it as:- x+y/2=47
By cross multiplying it we get equation:- x+y=94 …. Equation (2)
Now by using equation (2), we get y=94-x substitute it in Equation (1)
So, we can write equation (1) as:- 9x-8(94-x)=-4
=> 9x-752+8x=-4
=> 17x= 748
=> x= 44
Now substitute the value of x in equation (2), y=94-44= 50
So the age of A is 44 Years and age of B is 50 Years.
See lessHence the difference between their ages is 50-44= 6 Years.
Aptitude
Answer
Answer
See lessAge problem
This is an aptitude based question.Let us assume that x is the age of A and y be the age of B.So four years later their age will become x+4 and y+4.It is given that the ratio of x+4 and y+4 is 8:9.By this we get to know that the age of B is more than age of A. Let's take m as the common variableRead more
This is an aptitude based question.Let us assume that x is the age of A and y be the age of B.So four years later their age will become x+4 and y+4.It is given that the ratio of x+4 and y+4 is 8:9.By this we get to know that the age of B is more than age of A. Let’s take m as the common variable for the ratio.We need to take m because 8:9 might be formed by dividing into lowest term.But one thing that can be determined is that after four years age of A will be in multiple of 8 and age of B will be in multiple of 9
x+4=8m and y+4=9m
Subtracting 4 on both sides for both the equations
we get x=8m-4 and y=9m-4.—–Eq.1
Now we have been given that average of age of A and B is 47 years.So
(x+y)/2=47
Multiplying by 2 on both sides we can get
x+y=94——-Eq.2
Now we can substitute the values of x and y obtained in equation 1 into equation 2.
So. 8m-4+9m-4=94
Which gives 17m-8=94
On adding 8 on both sides we get 17m=102
So we get the value of m as 6 since 102/17=6.
Substituting m in equation we can get value of x and y
x=8m-4=8×6-4=48-4=44
y=9m-4=9×6-4=54-4=50
So we get the present age of A as 44 and B as 50.So the difference in their age is 50-44=6.Hence B is 6 years elder than A
See less