Question

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.

Answer 1

Answer:

Step-by-step explanation:

Let the age of Vivek

= x

and Let the age of Amit

= y

Given:

+y = 47

and

xy = 550

Hence

x(47-x) = 550

\Rightarrow x^2-47x+550=0

\Rightarrow x^2 -25x-22x+550 = 0

\Rightarrow x(x-25) - 22(x-25) = 0

\Rightarrow (x-22)(x-25) = 0

\Rightarrow x = 22 \ or \ 25

When

x = 22, y = 47-22 = 25

When

x = 25, y = 47-25 = 22

Hence the age of the two is

22, 25

years.