the sum of ages of father and his son is 60 years. if the difference between their ages is 40 years then find the age of father and son?

Father's age is 50, Son's age is 10

Step-by-step explanation:

X+Y=60

X-Y = 40

Let X represent the Father's age while Y represents the Son's age;

therefore, from the two equations, the value of X is

X = 60-Y

X = 40+Y then putting in the value of x

(40+Y) + Y = 60,

40+2Y=60

2Y=60-40 = 20

Y = 10,

Now that we know the value of Y, we can get the value of x

If X+Y=60, then

X+10=60,

X=60-10,

X = 50

Father = 50 years old

Son = 10 years old

Step-by-step explanation:

Let Father's age = x

The sum of their age is 60 years old.

Son's age = 60 - x

Given that their difference is 40 years old.

x - (60 - x) = 40

x - 60 + x = 40

2x - 60 = 40

2x = 100

x = 50

Father's age

= x

= 50 years old

Son's age

= 60 - x

= 60 - 50

= 10 years old