Question

govind is 4 times as old as ganesh.20 years hence,govinds age will be twice that of ganesh age.find the ganesh present age
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Answer 1

Answer:

let govind's age be x and ganesh's age us y.

x=4y

x+20=2y

These are the two equations made using the statements in the question.

On substituting x=4y in eq.2, we get

4y+20=2y

On rewriting,

2y=4y+20

2y-4y=20

-2y=20

y=-20/10

y=2

As age cannot be negative, we take age as positive.

x=4y

x=4×2

x=8

Thus, the age of govind is 8 and the age of ganesh is 2.

Answer 2

Answer:

The present age of Ganesh = 10.

Step-by-step explanation:

Given,

The age of Govind is  4 times as old as Ganesh.

20 years hence, Govind's age will be twice that of Ganesh's age.

To find,

Ganesh's present age.

Solution:

The present age of Govind = x

The present age of Ganesh = y

Since the age of Govind is  4 times as old as Ganesh,

x = 4y ------------(1)

After 20 years,

The age of Govind = x+20

The age of Ganesh = y+20

Since, 20 years hence, Govind's age will be twice that of Ganesh age.

x+20 = 2(y+20)

x+20 = 2y +40

x - 2y = 20 ----------------(2)

Substituting the value of x = 4y in equation (2) we get

4y -2y = 20

2y = 20

y = 10

x = 4y ⇒ x = 40.

The present age of Govind = 40

The present age of Ganesh = 10

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