five years ago juhi was three times as old as amreen. 10 years later juhi would be twice as old as amreen. how old are they?
5 yrs. ago:
Amreen was X yrs. old.
Juhi was 3x yrs. old.
10 years later:
Amreen is x+10 yrs. old.
Juhi is 3x+10 yrs. old.
(3x+10) = 2(x+10).
3x + 10 = 2x + 20.
X = 10.
Amreen = x+10 = 10 + 10 = 20 yrs. old.
Juhi = 3x+10 = 3*10 + 10 = 40 yrs. 0ld.
3x+5+10=2(x+5+10)
3x+15=2x+30
X=15
So,at present
Juhi=3x+5 =3*15+5 =50 years
And Amreen=x+5 =15+5 =20years
10 years later,
Amreen will be x+5+10
And Juhi will be 3x+5+10
Not x+10 and 3x+10
To solve this problem, let's work through it step by step.
Let's assign variables to represent the ages of Juhi and Amreen:
Let's say Juhi's current age is J, and Amreen's current age is A.
Five years ago, Juhi's age would have been J - 5, and Amreen's age would have been A - 5.
According to the problem, five years ago, Juhi was three times as old as Amreen. This can be written as an equation:
J - 5 = 3 * (A - 5) --> Equation 1
Now, let's consider their ages 10 years from now. Juhi's age would be J + 10, and Amreen's age would be A + 10.
According to the problem, Juhi's age 10 years from now will be twice Amreen's age. This can be written as an equation:
J + 10 = 2 * (A + 10) --> Equation 2
Now we have a system of two equations (Equation 1 and Equation 2) that we can solve to find the ages of Juhi and Amreen.
Let's solve the system:
Equation 1: J - 5 = 3 * (A - 5) --> J - 5 = 3A - 15 --> J = 3A - 10
Equation 2: J + 10 = 2 * (A + 10) --> J + 10 = 2A + 20 --> J = 2A + 10
Since both equations are equal to J, we can set them equal to each other:
3A - 10 = 2A + 10
Simplifying the equation, we get:
3A - 2A = 10 + 10
A = 20
Now substitute the value of A back into one of the equations to find J:
J = 2A + 10
J = 2 * 20 + 10
J = 40 + 10
J = 50
So, Juhi is 50 years old and Amreen is 20 years old.