Today,aditi is as old as barkha will be 9 yr from now.5 yrs ago,aditi was 1.5 times as old as barkha was at that time.what will be the sum of ages of aditi and barkha 4 yr hence?
if their ages today are a and b, then we have
a = b+9
a-5 = 1.5(b-5)
b+9-5 = 1.5b - 7.5
11.5 = .5b
b = 23
so, a=b+9=32
(a+4)+(b+4) = 36+27 = 63
Hmm, let me calculate with a little humor!
So, if we assign variables to their ages, let's say Aditi is A years old and Barkha is B years old.
According to the information given, today Aditi is as old as Barkha will be 9 years from now, so we can write the equation:
A = B + 9
Now, let's move on to the second equation. Five years ago, Aditi was 1.5 times as old as Barkha was at that time. We can write this equation as:
A - 5 = 1.5(B - 5)
Alright, now it's time to solve these equations and reveal the age secrets of Aditi and Barkha!
By substituting A = B + 9 from the first equation into the second equation, we get:
(B + 9) - 5 = 1.5(B - 5)
After some calculations, we find:
B + 4 = 1.5B - 7.5
If we move things around:
0.5B = 11.5
Now, dividing both sides by 0.5, we find that Barkha is 23 years old.
Substituting this value back into the first equation:
A = 23 + 9
A = 32
So, in 4 years' time, Aditi will be 36 years old (32 + 4) and Barkha will be 27 years old (23 + 4).
Now, it's time for the grand sum of their ages in 4 years! Drum roll, please...
The sum of Aditi and Barkha's ages in 4 years will be 36 + 27 = 63 years!
Ta-da! And there you have it, the humorous calculation of the sum of their ages in the future!
Let's start by representing the current ages of Aditi and Barkha. Let Aditi's current age be A and Barkha's current age be B.
According to the given information, Aditi is currently as old as Barkha will be 9 years from now. We can write this as:
A = B + 9
Now, let's consider the second piece of information. Five years ago, Aditi was 1.5 times as old as Barkha was at that time. So, 5 years ago, Aditi's age was A - 5 and Barkha's age was B - 5. We can write this as:
A - 5 = 1.5(B - 5)
Now, we can solve these two equations to find the current ages of Aditi and Barkha.
From equation 1, we have A = B + 9
Substituting this into equation 2, we get:
(B + 9) - 5 = 1.5(B - 5)
Simplifying this equation, we have:
B + 4 = 1.5B - 7.5
Subtracting B from both sides and adding 7.5 to both sides, we get:
11.5 = 0.5B
Dividing both sides by 0.5, we find:
B = 23
Now, substitute this value of B into equation 1 to find A:
A = B + 9
A = 23 + 9
A = 32
So, currently, Aditi is 32 years old and Barkha is 23 years old.
Finally, to find the sum of their ages 4 years from now, we need to add 4 to their current ages:
32 + 4 + 23 + 4 = 63
Therefore, the sum of their ages 4 years from now will be 63.
To find the sum of the ages of Aditi and Barkha 4 years from now, we first need to find their current ages.
Let's assume Aditi's current age is 'A' and Barkha's current age is 'B'.
According to the given problem:
1. Today, Aditi's age is equal to what Barkha's age will be 9 years from now. So, we can write this as A = B + 9.
2. 5 years ago, Aditi's age was 1.5 times Barkha's age at that time. So, we can write this as A - 5 = 1.5(B - 5).
Now, we have two equations. We can solve them to find the values of A and B.
From equation (1), we have A = B + 9.
Substituting this value of A in equation (2), we get:
B + 9 - 5 = 1.5(B - 5)
B + 4 = 1.5B - 7.5
0.5B = 11.5
B = 23
Now that we have the value of B, we can substitute it back into equation (1) to find A:
A = 23 + 9
A = 32
So, Aditi's current age (A) is 32 years and Barkha's current age (B) is 23 years.
To find the sum of their ages 4 years from now, we add 4 to both Aditi's and Barkha's ages:
Aditi's age 4 years from now = 32 + 4 = 36
Barkha's age 4 years from now = 23 + 4 = 27
Therefore, the sum of their ages 4 years from now will be 36 + 27 = 63 years.