I'm stuck up with this too
The ages of Katheline and Gwen are in the ratio 2 : 3. After 12 years, their ages will be in the ratio 11 : 15. The age of Gwen is-
a) 32 years
b) 42 years
c) 48 years
d) 56 years
Any help will be appreciated.
Thanks a Lot!
Usually in solving a system of simultaneous equations, you wind up manipulating one of them so you can express on variable in terms of the other. That allows you to substitute that variable into the other equation.
Let's take this instance as an example: let's call the top equation Equation 1, and the lower one Equation 2.
Equation 1 can be re-worked so we can express x in terms of y:
x/y = 2/3
3x = 2y
So we can then figure out
x = 2y/3
Knowing that, we can then substitute this value for x into Equation 2. When you do that, what do you get then?