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Grade 10Algebra

The product of two positive numbers is 105 and A.M is 11,then the largest number is

Profile image of Kavya
6 Years agoGrade 10
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1 Answer

Profile image of Arun
6 Years ago
Dear Kavya
 
let numbers are a and b
 
Now ab = 105 and (a+b)/2 = 11
hence a + b = 22
 
Now (a – b)^2 = (a +b)^2 – 4ab = 484 – 420 = 64
 
hence a – b = 8
 
hence 2a = 30
a = 15 then b = 7