Answer:
4
5
6
Explanation:
Since we don't know the three consecutive numbers, let's call them x,x+1,and x+2.
Product of first two means x(x+1)=x^2+x
Product of last two means
(x+1)(x+2)=x^2+2x+1x+2=x^2+3x+2
"product of the first two is 10 less than the product of the last two"
So we have the equation x^2+x=x^2+3x+2-10
Simplify on right side: x^2+x=x^2+3x-8
Subtract x^2 on both sides: x=3x-8
Subtract 3x on both sides: -2x=-8
Divide both sides by -2: x=4
x=4
x+1=4+1=5
x+2=4+2=6
Check:
The product of first two is 10 less than the product of last two.
4(5)=20
5(6)=30
It's true that 30-10=20.