please help me
five years ago the ratio of alice's to bernards age was 1:4. 10 years from now, the ratio of alices to bernards age will be 2:3. how old is bernard?
a)15
b)17
c)25
d)27
e)30

Question

please help me
five years ago the ratio of alice's to bernards age was 1:4. 10 years from now, the ratio of alices to bernards age will be 2:3. how old is bernard?
a)15
b)17
c)25
d)27
e)30

anonymous · Answer

@aum can you please help me with this one too

anonymous · Answer

This is a system of two linear equations. Our first equation is $$\frac {Alice - 5}{Bernard - 5} = \frac {1}{4}$$ and our second equation is $$\frac {Alice + 10}{Bernard + 10} = \frac {2}{3}$$ Solving these equations will give us the ages of both Alice and Bernard.