Question

Amy is $5$ years older than her sister Julie. If the product of their ages is $6$. Find the age of Julie.

• A. $1$ year
• B. $2$ years
• C. $3$ years
• D. $4$ years

Answer 1

Answer: (A)

$1$ year

Let $x$ be the age of sister Julie
$x+5=$ age of Elisa---(1)
So, product of their age $=x(x+5)=6$
$x^2+5x-6=0$
On factoring, we get,
$(x-1)(x+6)=0$
$x-1=0,x+6=0$
$x=1$ or $x=-6$
So, the age of Julie is $1$ year.