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

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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) About Me  (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
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +j+ = Jack's age now
Let +s+ = Susan's age now
+j+%2B+5+ = Jack's age 5 yrs from now
+s+%2B+5+ = Susan's age 5 yrs from now
-----------------------------------
(1) +j+=+s+%2B+27+
(2) +j+%2B+5+=+4%2A%28+s+%2B+5+%29+
-----------------------
(2) +j+%2B+5+=+4s+%2B+20+
(2) +j+-+4s+=+15+
and
(1) +j+-+s+=+27+
-------------------
Subtract (2) from (1)
(1) +j+-+s+=+27+
(2) +-j+%2B+4s+=+-15+
+3s+=+12+
+s+=+4+
and
(1) +j+=+s+%2B+27+
(1) +j+=+4+%2B+27+
(1) +j+=+31+
Jack is 31 and Susan is 4
check:
(2) +j+%2B+5+=+4%2A%28+s+%2B+5+%29+
(2) +31+%2B+5+=+4%2A%28+4+%2B+5+%29+
(2) +36+=+4%2A9+
(2) +36+=+36+
OK