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If this problem makes sense to anyone, please let me know?
5 years ago, Fred was tree times Jill's age. 4 years from now, Fred will be twice Jill's age. How old are they each now? That was a problem given by my quantitative reasoning teacher. He has not yet given us the answer.
5 Answers
- 1 decade agoFavorite Answer
Let
x = Jill's age five years ago
3x = Fred's age five years ago
x + 5 = Jill's age now
3x + 5 = Fred's age now
x + 5 + 4 = Jill's age four years from now (or x + 9)
3x + 5 + 9 = Fred's age four years from now (or 3x + 9)
Note: Fred's age four years from now is twice as Jill's, thereby, 3x + 9 = 2(x + 9)
Now:
3x + 9 = 2x + 18 (by transposition)
3x - 2x = 18 - 9
x = 9 (Jill's age five years ago)
3x = 27 (Fred's age five years ago)
x + 9 = 18 (Jill's age four years from now)
3x + 9 = 36 (Fred's age four years from now)
27 is three time nine.
36 is two times 18.
- eriLv 71 decade ago
Let's call Fred's age now F, and Jill's age now J. The problems gives you a set of algebraic equations to solve.
(F - 5) = 3 * (J - 5)
(F + 4) = 2 * (J + 4)
Solve the first one for F in terms of J and plug that F into the second to solve for J, then back-solve for F.
- Jess4rsakeLv 71 decade ago
Fred's age = X Jill's age = Y
if X - 5 = 3Y and X = 2Y + 4. Then, find the value of X. Yes. The problem makes sense if you can perform those mathematical operations.
Source(s): high school Algebra - 1 decade ago
this is simple
let present age of fred be x and jill be y.
then 5 year ago there age were x-5 and y-5.and according to first line of ur quest it implies
x-5=3(y-5)
=> x-3y+10=0 ------- (1)
then 4 yrs later there age will be x+4 and y+4 and according to second line of ur question
x+4=2(y+4)
=> x-2y-4=0 --------------(2)
on solving eq 1 and 2 u will get the values of x and y i.e. the present age of fred and jill respe.
x=32
y=14
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- Anonymous1 decade ago
(F - 5) = 3 * (J - 5)
(F + 4) = 2 * (J + 4)