Question 1179521
Adriana is 7 years older th yearsan Joshua. The product of their ages is 144. How old is Adriana?

Let Joshua's age be j years
and Adriana's be y years
j+7 =a
j=a-7

j*a = 144

(a-7)*a = 144     ( substitute j)

a^2-7a-144=0

factorises

a^2-16a+9a -144=0

(a-16)(a+9) =0

Takinf the positive value 
Adirian's age is 16 years