Question

The age of geetha added to twelve times the age of seetha gives 70.Three times the age of geetha added to eight times the age of seetha gives 70.What is the age of geetha?What is the age of seetha?

Answer 1

Answer:

Geetha is 10 years old.

Seetha is 5 years old.

Solution:

Let,

Age of Geetha = x

Age of Seetha = y

By the statement, we see that:

• x + 12y = 70

and:

• 3x + 8y = 70

As right hand side of both equation is 70, so we can write as:

• x + 12y = 3x + 8y = 70
• x + 12y = 3x + 8y
• 3x - x = 12y - 8y
• 2x = 4y
• x = 4y/2
• x = 2y

So, now we can put the value of x in equation 1 which is:

• x + 12y = 70

But, x = 2y. So,

• 2y + 12y = 70
• 14y = 70
• y = 70/14
• y = 5

Thus Seetha's age is 5 years.

Now, x can be calculated as:

• x + 12y = 70

But, y=5

• x + 12(5) = 70
• x + 60 = 70
• x = 70 - 60
• x = 10

Thus Geetha's age is 10 years.