The ages of emeka and sophid are in ratio 3:4 in four years time the ratio of their ages will be 7:9,how old are they now?
Let's assume that Emeka's age is 3x and Sophia's age is 4x.
In four years, Emeka's age will be 3x+4 and Sophia's age will be 4x+4.
According to the problem, in four years, the ratio of their ages will be 7:9.
So, we can write the equation as:
(3x+4)/(4x+4) = 7/9.
To solve for x, we can cross-multiply the equation:
9(3x+4) = 7(4x+4).
27x + 36 = 28x + 28.
27x - 28x = 28 - 36.
-x = -8.
x = 8.
Therefore, Emeka's age is 3x = 3(8) = 24 and Sophia's age is 4x = 4(8) = 32.
So, Emeka is 24 years old, and Sophia is 32 years old.