Q.18) Anisha's present age (in years) is a multiple
of 9. Last year her age (in years) was a multiple of
11. If her age is between 30 years and 60 years,
how old is she?
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Answer:
anisha's age = 9x
as given, 9x-1= 11y
also, x,y lie between 30 and 60
so possible values of x can be: 36, 45, 54
and possible values of y can be: 33,44,55
only the case of (x,y)= (45,44) satisfies the equation 9x-1=11y
therefore, x= 45, y= 44
therefore, Anisha is 45 years old.
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