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Two numbers have a product of 6800 and a difference of 5 what are the two numbers

User Khorkhe
by
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1 Answer

2 votes

Answer:

80 and 85

Explanation:

Let a and b be those numbers

a*b = 6800

a - b = 5

Use the substitution method.

a = 5 + b

(5 + b)*b = 6800

5b + b*b = 6800

bb + 5b - 6800 = 0

b = -5/2 + root(25 - 4*1*(-6800)) /2

b = -5/2 + 165/2

b = 80

or b = - 85

a - b = 5

a - 80 = 5

a = 85

User Tao Huang
by
5.2k points