Question

State true or false:

Two consecutive odd whole numbers whose product is $63$ are $7$ and $9$.

• A. True
• B. False

Answer 1

The correct option is A True

Let the numbers be $a$ and $b$
$a-b=2$ or $a=b+2$
$ab=63$
Hence, $(b+2)b=63$
$b^2+2b-63=0$
$b^2+9b-7b-63=0$
$(b+9)(b-7)=0$
$b=-9$ or $7$. Since, the numbers are positive hence $b=7$
and $a=b+2=7+2=9$