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MsLo2011go
Answered

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9 years ago, when Miko celebrated her birthday with her family, the ratio of the age of Miko to Miko's sister was 5 : 7. This year, the ratio of the age of Miko to Miko's sister is 4 : 5. How old is Miko now?

Answer :

Answer: 24

Solution:
Step one: we need to solve this system:
{4x-9=5y
{5x-9=7y

{x=(5y+9)/4
{5•(5y+9)/4-9=7y

Step two: solve the second equation for y:
y=3

Step three: If y=3, and x=(5y+9)/4
X=6

Step four: considering Miko is now 4•x years old, answer will be 4•6=24

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