# Two numbers differ by6.if their product is 72.find the sum of the two number?

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other no=x+6

accrdng to the statement..

x(x+6)=72

i.e x2(x square)+6x-72=0

using the method splitting the middle term...

x2+6x-72=0

x2+12x-6x-72=0

takng common terms..

x(x+12-6()x+12)=0

i.e (x+12)(x-6)=0

i.e (x+12)=0 or (x-6)=0

therefor,.. x= -12 or 6

as value cannot be negative,we take the +ve value i.e 6

so x=6

substitute these values in the place of x

one no=x=6

and other no=x+6

=6+6=12

and sum of these 2 nos=6+12

=18

u can even verify the answer

as gvn theirproduct is 72

i.e 6*12=72

so we got the ri8 answer......:)