Question

the sum of ages of a son and his father (in years ) is 49 and product of their ages is 294. find their ages?​

Answer 1

Step-by-step explanation:

Let the ages of son and father be x and y with x>y.

As per data,

x + y =35 and xy = 150

By trial and error method we can found that

x= 30 and y = 5

Answer 2

Answer:Age of father is 42 and age of the son is 7

Step-by-step explanation:let age of the father = x

and age of the son = y

we have x+y=49--------------(a)

and xy=294

(first we have to find x-y )

(x-y)^2=(x+y)^2-4xy

     = (49)^2-4(294)

      =2401-1176

      =1225

x-y=√1225

x-y =35------------------(b)

now adding equation (a) and (b) we get

2x=84⇒x=42

and substracting equation  (b) from (a) we get

2y=14⇒y=7