Find two whole numbers with a sum of 15 and a product of 54

Question

02-01-2018
Mathematics

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Find two whole numbers with a sum of 15 and a product of 54

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anchitthawi anchitthawi · Answer 1 · 2018-01-04T13:11:53+01:00

anchitthawi anchitthawi

04-01-2018

a+b=15----(1)
a*b=54----(2)

(1) a=15-b ----(3)

put(3) in(2)

(15-b)*b=54
15b-b^2=54
b^2-15b+54=0
(b-9)(b-6)=0
so b=9 or b=6

if b=9 then a=15-9=6
if b=6 then a=15-6=9

answer two numbers are 6 and 9

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