Asked 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?
Answers
Answered by
Reiny
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 = x-5
Son = y-5
x-5 = 5(y-5) - 2
x-5 = 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</b>
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
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 = x-5
Son = y-5
x-5 = 5(y-5) - 2
x-5 = 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</b>
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
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.