Question

. The sum of the ages of a father and his son is 40.In five years the father will be four times as old as his son.Then the ages of the father and the son are now respectively_______ and ________.

Answer 1

Answer:

father's age - 40

son's age - 10

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Answer 2

Answer: The age of the father is 35 and the age of the son is 5 years.

Step-by-step explanation: Let the age of father be 'x' and age of son be 'y'.

=) x + y = 40

=) x = 40 - y ........................................(1)

( x + 5 ) = 4 ( y + 5 ) ...........................(2)

Substituting (1) in (2), we get

40 - y + 5 = 4y +20

=) 45 - y = 4y + 20

=) -y - 4y = 20 - 45

=) -5y = -25

=) 5y = 25

=) y = 5 ..........................................(3)

Substituting (3) in (1), we get

x = 40 - y

=) x = 40 - 5

=) x = 35