SOLUTION: Jack is 27 years older than susan. in 5 years time he will be 4 times as old as her. find the present ages of jack and susan

Question 808149: Jack is 27 years older than susan. in 5 years time he will be 4 times as old as her. find the present ages of jack and susan
Found 2 solutions by TimothyLamb, josmiceli:
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
j = s + 27
---
j + 5 = 4(s + 5)
j = 4s + 20 - 5
j = 4s + 15
---
j = s + 27
j = 4s + 15
---
4s + 15 = s + 27
3s = 12
s = 4
---
Answer:
Susan is 4
Jack is 31
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Jack's age now
Let = Susan's age now
= Jack's age 5 yrs from now
= Susan's age 5 yrs from now
-----------------------------------
(1)
(2)
-----------------------
(2)
(2)
and
(1)
-------------------
Subtract (2) from (1)
(1)
(2)

and
(1)
(1)
(1)
Jack is 31 and Susan is 4
check:
(2)
(2)
(2)
(2)
OK

RELATED QUESTIONS
Please help me solve this equation: Bill is nine years older than Jack. In Six years Bill (answered by Earlsdon)
James is 27 years older than Sara. In 5 years time, he will be 4 times as old as she is. (answered by ikleyn)
Chuck is 22 years older than Jack. When Jack is as old as Chuck is now, he will be three... (answered by josmiceli)
Susan is 16 years older than her brother. 10 years later, she will be twice as old as her (answered by ewatrrr)
Jack is 20 years older than Tom. 4 years later, Jack will be 3 times as old as Tom. How... (answered by mananth)
Jack is 6 years older than betty in 3 years time jack will be twice as old as betty.how... (answered by Cromlix)
Jack is 3 times as old as Lacy. 8 years from now the sum of their ages will be 60. How... (answered by MathLover1)
the sum of the present ages of sheila and kristine is 42 years. in 9 years, sheila will... (answered by lwsshak3)
1. rose is 6yrs older than her sister in four years she will be nine years more than one... (answered by ankor@dixie-net.com)