Question

8. The sum of the ages of Vivek and his younger
brother Amit is 47 years. The product of their
ages in years is 550. Find their ages. [2017]​

Answer 1

Answer:

Let the age of Vivek =x yrs.

and Age of Amit =y yrs.

According to question,

x+y=47 and

xy=550

Now,

(47−y)y=550

⇒47y−y

2

=550

⇒y

2

−47y+550=0

⇒(y−22)(y−25)=0

⇒y=22 or y=25

Since, Amit is younger brother, age of Amit =22 yrs.

And Age of Vivek =25 yrs