Question

Sum of the ages of son and his father is 35 and the product of their ages is 150 . find their ages​

Answer 1

Let. son's age is x
dad's age is y

See , as they said d sum so , we have to add he ages of dad and his son and mention the sum .As follows .

x+y=35

And next they said about product . We get product by multiplying two factors so,

x × y = 150
xy= 150

so here we got two equations :

x+y= 35----(1)
xy= 150----(2)

Based on mathematics we have two methods to solve linear equation ,

They are :
Substitution method ,
Elimination method.

So, let us try first and easy method substitution method

In substitution method we consider equation -1 as , x+y= 35
And second equation as , xy=150

from eq--(2)

xy= 150
y=150÷x


In the above eq we got present value of "y".

So, we have to substitute in eq--(1 )
x+y= 35
x+ 150÷x= 35
x^2+150= 35x
x^2-35x+150= 0

Sorry you have to factorize and know the value of 'x' and subtitute in any other eq b/w 1 and 2