Question

From the given statement construct a sinultaneous equation for present age of father 20yers more than the present age of the sun. 5years ago the age of the Father was 6 time the age of the sun​

Answer 1

Let :

• Present Age of son = x
• Present age of father = y

Given :

• Present age of father is 20 year more than age of son
• 5 year ago age of father was 6 time age of son

Equation :

◈ y = x + 20 ...... equation 1

◈ Age of father, 5 years ago = (y-5)

Age of son , 5year ago = (x-5)

➜ (y-5) = 6(x-5)

➜ y - 5 = 6x - 30

➜ y = 6x - 30+5

➜ y = 6x - 25 .......... equation 2

Solution :

Equating , equation 1 & 2 we get

➜ x + 20 = 6x - 25

➜ 6x - x = 20 + 25

➜ 5x = 45

➜ x = 45/5

➜ x = 9

PUTTING value of x in equation 1

➜ y = x + 20

➜ y = 9 + 20

➜ y = 29 years

ANSWER :

Present age of father (y) = 29 years

Present age of son (x) = 9 years