the ages of aryan and arjun are in the ratio 5:7 gour years later their ages will be in the ratio 3:4. find their ages
If their ages are x and y, then we have
x/y = 5/7
(x+4)/(y+4) = 3/4
Now just solve for x and y. It's easier if you get rid of the fractions first...
Let's assume the current ages of Aryan and Arjun are 5x and 7x respectively.
Four years later, Aryan's age will be (5x + 4) and Arjun's age will be (7x + 4).
According to the given ratio, (5x + 4) / (7x + 4) = 3/4.
To solve this equation, we can cross-multiply:
4*(5x + 4) = 3*(7x + 4)
20x + 16 = 21x + 12
16 - 12 = 21x - 20x
4 = x
Therefore, Aryan's current age is 5x = 5*4 = 20 years old, and Arjun's current age is 7x = 7*4 = 28 years old.
To find the ages of Aryan and Arjun, we can set up a system of equations using the given information.
Let's assume that the current ages of Aryan and Arjun are 5x and 7x, respectively.
According to the given information, 4 years later, their ages will be in the ratio 3:4. Thus, their ages will be (5x + 4) and (7x + 4), respectively.
We can set up the equation:
(5x + 4) / (7x + 4) = 3/4
To solve this equation, we can cross-multiply:
4(5x + 4) = 3(7x + 4)
Simplifying this equation:
20x + 16 = 21x + 12
Rearranging terms:
21x - 20x = 16 - 12
x = 4
Therefore, the value of x is 4.
Now, we can substitute this value back into our assumption to find the ages of Aryan and Arjun.
Aryan's age = 5x = 5 * 4 = 20 years
Arjun's age = 7x = 7 * 4 = 28 years
Therefore, Aryan's age is 20 years, and Arjun's age is 28 years.