SOLUTION: the ratio of two numbers is 42 to 9. Also, four times the larger number is 8 greater than 16 times the smaller number. what are the numbers?

Question 470634: the ratio of two numbers is 42 to 9. Also, four times the larger number is 8 greater than 16 times the smaller number. what are the numbers?
Answer by monika_p(71) (Show Source): You can put this solution on YOUR website!
a larger number
b smaller number
From the first sentence we have
ratio a/b=42/9
9a=42b
From second sentence we know that if we multiply b by 16 and add 8 to that number we will get 4a
4*a=16*b+8
a=4*b+2
Now we can substitute for a
9( 4b+2)=42b
36b+18=42b
6b=18
b=3
then for b=3 a =4*3+2=14

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