Question

the product of 2 positive intergers is 90.find the 2 intergers if the larger is 3 more than twice the smaller

Answer 1

say, one integer is x
the other one is 2x+3 (as per the given condition)
\[x(2x+3)=90\]
or, \[2x ^{2}+3x-90=0\]
or,\[(2x+15)(x-6)=0\]
so, x is either -15/2 or 6
but x is a positive integer (given)
so, x=6