the age of somya and yaseen are in the ratio 5:7.if somya were 9 years older and yaseen is 9 years younger one,find thier present age?
To find the present age of Somya and Yaseen, we can follow these steps:
Let's assume Somya's age is 5x and Yaseen's age is 7x.
1. According to the given information, if Somya were 9 years older, her new age would be 5x + 9.
2. Similarly, if Yaseen were 9 years younger, his new age would be 7x - 9.
Since the new ages of Somya and Yaseen are given, we can set up the following equation:
5x + 9 = 7x - 9
To solve this equation, we need to get all the x terms on one side and the constant terms on the other side:
9 + 9 = 7x - 5x
18 = 2x
Next, we want to solve for x by isolating it. We divide both sides of the equation by 2:
18 / 2 = 2x / 2
9 = x
Now that we have the value of x, we can find the current ages of Somya and Yaseen.
Somya's age = 5x = 5 * 9 = 45 years
Yaseen's age = 7x = 7 * 9 = 63 years
Therefore, Somya's present age is 45 years and Yaseen's present age is 63 years.