Q. 404.9( 7 Votes )

# The sum of the ag

Let the present age of boy and his brother be x years and (25 – x) years

According to given question

x(25 – x) = 126

25x – x2 = 126

x2 – 25x + 126 = 0

Using the splitting middle term – the middle term of the general equation is divided in two such values that:

Product = a.c

For the given equation a = 1 b = – 25 c = 126

= 1.126 = 126

And either of their sum or difference = b

= – 25

Thus the two terms are – 18 and – 7

Sum = – 18 – 7 = – 25

Product = – 18. – 7 = 126

x2 – 18x – 7x + 126 = 0

x (x – 18) – 7(x – 18) = 0

(x – 18) (x – 7) = 0

x = 18 or x = 7

x = 18 (Present age of boy cannot be less than his brother)

if x = 18

The present age of boy is 18 years and his brother is (25 – 18) = 7years

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses