SOLUTION: LEA IS 5 YEARS MORE THAN 6 TIMES CHERRY'S AGE. IN 5 YEARS, LEA WILL BE 4 TIMES CHERRY'S AGE THEN. HOW OLD IS LEA NOW?

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Question 877926: LEA IS 5 YEARS MORE THAN 6 TIMES CHERRY'S AGE. IN 5 YEARS, LEA WILL BE 4 TIMES CHERRY'S AGE THEN. HOW OLD IS LEA NOW?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Lea's age now
Let +b+ = Cherry's age now
---------------------------
+a+%2B+5+ = Lea's age in 5 yrs
+b+%2B+5+ = Cherry's age in 5 yrs
------------------------------
(1) +a+=+6b+%2B+5+
(2) +a+%2B+5+=+4%2A%28+b+%2B+5+%29+
-------------------------
(1) +a+-+6b+=+5+
and
(2) +a+%2B+5+=+4b+%2B+20+
(2) +a+-+4b+=+15+
-------------------
Subtract (1) from (2)
(2) +a+-+4b+=+15+
(1) +-a+%2B+6b+=+-5+
+2b+=+10+
+b+=+5+
and
(1) +a+=+6b+%2B+5+
(1) +a+=+6%2A5+%2B+5+
(1) +a+=+35+
--------------
Lea is 35 and Cherry is 5
check:
(2) +a+%2B+5+=+4%2A%28+b+%2B+5+%29+
(2) +35+%2B+5+=+4%2A%28+5+%2B+5+%29+
(2) +40+=+40+
OK