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Cheryl is 3/5 as old as her mum. In 8 years time, the ratio of her age to her mom's age will be 2:3. How old is Cheryl now??

 Aug 17, 2015

Best Answer 

 #1
avatar+26396 
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Cheryl is 3/5 as old as her mum. In 8 years time, the ratio of her age to her mom's age will be 2:3. How old is Cheryl now??

 

m = mum      c = cheryl

 

(1) c=35m or m=53c

(2) c+8m+8=23 or c=23(m+8)8

 

c=23(m+8)8|m=53cc=23(53c+8)8c=109c+8238c=109c+1638|99c=10c+316729c=10c2410c9c=24c=24

 

Cheryl is now 24 years old

 

 Aug 17, 2015
 #1
avatar+26396 
+10
Best Answer

Cheryl is 3/5 as old as her mum. In 8 years time, the ratio of her age to her mom's age will be 2:3. How old is Cheryl now??

 

m = mum      c = cheryl

 

(1) c=35m or m=53c

(2) c+8m+8=23 or c=23(m+8)8

 

c=23(m+8)8|m=53cc=23(53c+8)8c=109c+8238c=109c+1638|99c=10c+316729c=10c2410c9c=24c=24

 

Cheryl is now 24 years old

 

heureka Aug 17, 2015

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