Question

Find two consecutive positive multiples of 3 whose product is 270

Answer 1

Let the multiples be x,x+3.

ATQ

x(x+3)=270

x²+3x-270=0

x²+18x-15x-270=0

x(x+18)-15(x+18)=0

(x-15)(x+18)=0

Either x=15 or x=-18

Rejected as no are +ve

Multiples are 15 and 18