Math
posted by Angel .
In five years,Emma will be three years more than twice as old as her son. Five years ago,she was two years less than five times, as old as her son. How old Emma now?

Emma's present age  x
son's present age y
in 5 years:
Emma = x+5
Son = y+5
but x+5 = 2(y+5) +3
x  2y = 8 (#1)
5 years ago:
Emma = x5
Son = y5
x5 = 5(y5)  2
x5 = 5y  25  2
x  5y = 22 (#2)
#1  #2:
3y = 30
y = 10
in #1 : x 20 = 8
x = 28
Emma now is 28, her son is now 10
check:
in 5 from now:
>b> Emma is 33 , her son is 15
is 33 three more than twice 15 ? YES
5 years ago:
Emma was 23 , her son was 5
is 23 two less than 5 times 5 ? YES
All is good
Respond to this Question
Similar Questions

math
When a woman is as old as her father is now, she will be five times as old as her son is now. By then, her son will be eight years older than she is now. The combined ages of her father and herself are 100 years. How old is her son? 
Kathie
In four years' time, a father will be three times as old as his son. Six years ago, he was seven times as old as his son. How old are they now? 
math
A. Brad is 12 years older than Sam . If Brad were 8 years older than he is now. he would be twice as old as Sam. How old is Sam now? 
math
A. John is now 10 years older than Marcus. Three times John's age 5 years from now will be the same as five times Marcus's age 5 years ago. How old is John now? 
Math
Ten years ago a man was three times as old as his son. In twelve more years, the son is threefifths as old as his father. What were their ages 5 years ago? 
batac national high school
A mother is three times as old as her son. Eight years ago, she was 4 more than five times the age of her son. How old is the mother now? 
maths
Five years ago Kate was five times as old as her son. Five years hence her age will be eight lessthan three times the corresponding age of her son. Find their present ages. 
Mathematics
Two years hence,a father will be six times as old as his son.Three years ago,the father was five times as old as his son will be twoyears hence,find the present ages of father and son 
math
Five years ago, A was three times as old as B and ten years later, A shall be twice as old as B. What are the present ages of A and B (in years). 
Maths ( Higher Level) Simultaneous Equations.
A mother is x years old, her son is y years old and the sum of theirs ages together is 58 years. Five years ago, the mother was five times as old as the son. Write two equations in x and y and solve them to find the age of their mother …