Question

The sum of the ages of Arun and his elder brother Varun is 27 years. The product of their ages is 180. Find the ages,​

Answer 1

Answer:

15 and 12

Step-by-step explanation:

Let the age of Varun be 'x' years.

Let the age of Arun be '27-x' years.

Given,

x(27-x) = 180

27x - x² = 180

x²- 27x + 180 = 0

x²-15x-12x+180 = 0

x(x-15) -12(x-15) =0

Therefore, x = 15, 12

As in the question, Varun is elder

so the age of varun is 15 years.

and, the age of arun is 27- x, 27-15, which is 12 years.