Question

the present ages of two people are 15 years and 22 years respectively. After how many years the product of their ages will be 408.​

Answer 1

Present age of A be 15 years.

Present age of B be 22 years.

Let after x years product of their ages becomes 408.

(15+x)(22+x)=408

x^2+37x+330=408

x^2+37x-78=0

x^2+39x-2x-78=0

x(x+39)-2(x+39)=0

(x-2)(x+39)=0

x=2 years