Question

1) Jack and Jill have a Jill have a combined age of 25. Jack is 3 years older than Jill. How old are they?

2) A rectangle has an area of x^2+7x+12. Find the length and the width of the rectangle.

Answer 1

1.) Jill = 11 yrs & Jack = 14 yrs. | 2.) (x + 4)(x + 3)

Explanation:

1.)

Let j = Jill's age.

`j+(j+3)=25\\2j+3=25\\2j=22\\j=11\\\\\\(11)+3=14`

Therefore, Jill is 11 and Jack is 14.

2.)

`x^2+7x+12\\(x+4)(x+3)`