Answer:
Mother's Present Age = 36 years
Daughter's Present Age = 12 years
Step-by-step explanation:
Let present age of mother be "m" and present age of daughter be "d"
Mother is 24 years older than her daughter, so we can write:
m = 24 + d
8 years ago, Mother was 7 times old as daughter, that would be:
m - 8 = 7(d - 8)
Note, since 8 years ago, both "m" and "d" have 8 subtracted from it.
Now we substitute Equation 1 into Equation 2 and solve for d:
[tex]m - 8 = 7(d - 8)\\24+d - 8 = 7(d - 8)\\16+d=7d-56\\6d=72\\d=\frac{72}{6}\\d=12[/tex]
Mother age, m, would be:
m = 24 + d
m = 24 + 12
m = 36
Hence,
Mother's Present Age = 36 years
Daughter's Present Age = 12 years
