Question

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?

Answer 1

Father = 50 years old

Son = 10 years old

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

Answer 2

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

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