Question

the sum of the age of father and son is 40. After two years the age of father will be three times more than the age of son. what is the present age of father?
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Answer 1

Step-by-step explanation:

Let the father age be x

and the son age is 40-x

after two years

father age is three timesmore then the age of son

so the present age of father is

33 years

Answer 2

Answer:

• Present age of Father = 31 years

Explanation:

Let, present age of father is x

and, present age of son is y

then,

→ sum of ages = 40

→ x + y = 40

→ x = 40 - y   ___equation(1)

Now, After two years age of father will be x + 2

and age of son will be y + 2

then,

→ age of father after two years = 3 ( age of son 2 yrs later )

→ x + 2 = 3 ( y + 2 )

→ x + 2 = 3 y + 6

using equation (1)

→ ( 40 - y ) + 2 = 3 y + 6

→ 40 - y + 2 = 3 y + 6

→ 40 + 2 - 6 = 3 y + y

→ 42 - 6 = 4 y

→ 36 = 4 y

→ y = 36 / 4

→ y = 9

putting value of y in equation (1)

→ x = 40 - y

→ x = 40 - ( 9 )

→ x = 31

Therefore,

• Present age of Son is 9 yrs and Present age of father is 31 years.