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⟩ There are two numbers in the ratio 89. if the smaller of the two numbers is increased by 12 and the larger number is reduced by 19 thee the ratio of the two numbers is 59.Find the larger number?

Let Smallest number be x & largest number be y.

so X/y=8/9

x=8/9y

(x+12)/(y-19)=5/9

(8/9y+12)/(y-19)=5/9

8/9y^2-19*8/9y+12y-12*19-5/9=0

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